Your mileage may vary depending on your skill set, number of years of experience, your location in US, how aggressive and well connected your marketing guy is and your luck..
Typically when you land in US through "consulting" company, you are put up in their guest house. If it�s your first visit to the country then some time is spent in your orientation, getting your SSN, driving license, bank accounts, credit cards etc. At the same time your marketing guy starts calling up his/her contacts and discussing your CV. If he is well connected, he can arrange interviews quickly and frequently. But there are two types of interviews..
1. Middleman / Preferred vendor interviews: If your consulting company is small, then chances are it won't have any direct clients. So it will have corp-corp agreement with bigger consulting companies like K-Force, Tek Systems, Jean Martin etc (check www.dice.com).
If lets say CISCO wants to ire few contractors, it will go to K-force in bay area. If K-force doesn't have anybody with required skill set and experience, (most often they won't have) then will come to your company. Your marketing guy will be more than happy to present your CV to K-Force. If K-Force likes your CV, they will take your "interview". Most often than not, they will just check your communication and get a feel from you about your experience. - This thing is called as the middleman interview. I feel its just waste of time because it�s ultimately the client interview which is going to decide whether you get the contract or not. But then again this is the first step in securing a client interview so your should humor the middleman. Because he decides whether or not to submit your CV to the client.
2. The client interview: This is the real thing. If the middleman submits your CV, and client likes it, you are given a interview slot and the interview takes place. There can be multiple rounds of this depending upon how finicky your project manager is and how important the position is. Once you clear these rounds and there is an agreement between the client - the middleman and your company, you are offered the contract. Keep in mind that most often, the client doesn't know who your real employer is. For him the middleman is single point of contact. So it�s a layered architecture
Now when your company is saying they can arrange 4-5 interview a day for you then there can be many possibilities:
1. You are top notch professional with skill set which is extremely rare and is in Hugh demand.
2. Your company is direct vendor to many big companies.
3. Your company is exaggerating and also including middleman interviews in the count. Then also it�s on the higher side.
Typically 3-4 calls per week are average now days.