Can something happen if you give your SSN over the phone?

I never give out my credit pr debit card information but stupidly gave out my SSN (social) over the phone yesterday.

It was about receiving information about autos and motorcycles. The information needed was my social. I thought it was weird but ok gave it out.

I believe I made a mistake. Can something happened?

Updates
+1 y
I have a difficult and unusual password in regard to my account so it's unlikely they will figure it out but I'm still concerned.
Can something happen if you give your SSN over the phone?
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