It's really M &T bank

I got a call from them after depositing a large sum of money into my M&T checking account (to be used to pay vendors for my upcoming wedding).  She was nice.  She just wanted to know if I wanted to transfer the money into my savings or elsewhere.

Just received a call from that number - a lady left a message also saying she was from M&T Bank and wanted to make sure they were meeting my financial needs.  I don't understand the need to do that - if I have a problem, I'll also go to my local bank branch.

Have recieved several calls from them, but have yet to actually speak to anyone.  Not sure who they are or what they want.

Female caller said she was calling from M&T Bank and wanted to know if I had a few minutes to go over finances to see if I'm using the right account for my money.  WHAT?  I told her that I will go into my local branch for all banking issues.  I have no idea who she is and will not give out info or discuss money issues over the phone to a complete stranger.  She was very nice about it and understood.  She seemed well-spoken but I know better than to trust a "cold" call like this one.