Ex Claims He Has Hidden Money In My Apartment

I let a man I was seeing very briefly move into my apartment. It was a big mistake I know. He was with me for about 3 months before he disappeared for almost two weeks and I placed his things in the basement of my building where there is storage space and changed my lock.
He is now claiming that he hid about $3500 in my apartment and that he needs to come inside to retrieve it. I feel uncomfortable letting him back into my place. He’s been arguing with me back and forth about it for weeks now threatening to sue me and call the police.
I live in a small studio that I keep very tidy and clutter free. I have NO idea where he could’ve possible left money. Also while he was staying with me he stayed here RENT FREE and didn’t help me with a single bill. I know I know I’m still very embarrassed about this.
Any advice would be greatly appreciated. Where exactly do I stand and should I let him come in and get his so called money?
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