Everyone in America should assume their SSN has been stolen by now.
Get an Experian/TransUnion free account and freeze your credit. If you get a CC stolen or a random hit that you did not instigate, file a fraud report which will lock your credit for 1-year. Only way to get credit (CC, loan, etc.) is to log in and unlock it for 24 hrs + any CC or Bank has to take extra steps to verify your ID.
Last time I bought a car, I had 3 banks call me to verify my ID, Address, etc. from the application I submitted. I actually asked them a bunch of questions before I would answer any of there question to verify it was not some scam (I didn't think it was since I'd just filled out a loan application that day but it never hurts to verify).