I would be concerned about giving the police my SS number. I once stopped filing a theft report (from my car) because they wanted my SS number as I was a ‘victim.’ They even wanted my height and weight. I was not present during the theft. It happened in my driveway sometime in the night.
You were the victim of a crime. I’m struggling to understand why the police would want your social security number. Could it be that they wanted to check you for warrants while they were at it?
I’m hoping that there is another explanation. If so, I can’t think of it.