Staffing agency. Need advice

Here is the situation:

Just applied on careerbilder for CNA position. Received a call from staffing company and directions to provide a lot of personal information including SS# and bank account number for direct deposit. Their website is secure, but am not sure if it is common to provide all private information to receive an interview with LTC? They intend to register me as an employee of their company. Is that a good choise?

Thank you

Sorry for mistakes, I am new to this country

Definitely sounds wrong. Shouldnt need bank info to get an interview. That company will eventually need all that info, but at this stage it seems premature.