Why are you running 35psi tires on pavement?

35psi tires (if not on a kids bike) are almost always offroad tires. They are super inefficient on pavement and also very easy to puncture.

The low pressure (often combined with a heavy thread) really help every piece of debris to poke holes into the tire. Also, the low pressure makes it much more likely to get a snakebite puncture. That happens if you e.g. jump a curb (which you really shouldn't do anyway) and the tire compresses down so far that the rim punctures the tube.

When riding on the road, get tires made for riding on the road. You know, road bike tires.

If you do light offroading sometimes (e.g. use dirt tracks for normal riding) get semi-slicks.

Offroad tires are only useful if you frequently ride through actual, wet mud, up steep mountain paths or on snow.

Last one: I hope you have rim tape on your rim. If not, that will likely destroy your tube without jumping or debris.