It looks more like a Black Widow but it is neither.
A Brown Recluse has a fiddle shaped mark (don't remember the color but you know it when you see it) on it's back and is obviously brown.
A Black Widow has a red hour glass mark on the underside of it's abdomen and is obviously black.
Who cares what species it is.
View attachment 16388
Bugs or spiders; your choice.
Saw this crawling across the floor....I've never seen one before, this one looks black not brown, but from some pictures I looked up it looks pretty close to one other than color
That's a spider.