Oh boy, what do you do when you don't watch american movies?
Facts: Soviets had better and larger submarine force. Russians have better and larger submarine force.
In the peak in 1957, Soviets had 375 submarines. They had by far the largest submarine fleet ever formed. Today the numbers are the same in both countries. Wikipedia states that both have 10-20 SSBNs and 60 SSNs + SSGNs. The difference is that Russians have also reserve sizable fleet.
Do you want to talk about quality? Who constructed the largest submarine? What about the fastest? Or the deepest diving? You guessed the answer. Russians use multiple hull designs, their submarines are more hydrodynamic and safer, they have escape pads, they can land on seabed, they are more comfoortable due to pool and sauna. They area more automatized and require smaller crew. They are better armed. Their reactors are liquid metal cooled, instead of water.
Oh, I know what do you mean. They are noisier. So what? You can't detect no modern nuclear submarine outside of 1 km radius, so the differences don't really matter anymore. The real difference is non-acoustic stealth. Russians can detect US submarines also using hydrodynamic sensors, detecting heat, electricity, magnetism, radiation exhausts and turbulences from enemy submarines. While all that's a taboo in the US.