Indian Social Security Scam - Anyone Else Getting These Calls?

Just returned to the States after living abroad for a few years and got a new phone number; these guys have been calling me incessantly. They say they are from the Social Security Administration and that they need to verify suspicious activity on my account before asking for my SSN. I probably get 4/5 calls a day.

If their Indian accents didn't make it so obvious that it's a scam, I'm sure more people would fall for it. What can they do with my SSN? Sell it? It's not actually that difficult to get someone's SSN, with all the spillage from companies anymore.

Is there a way to keep these Indians from calling me?