You may have an intermittent power switch, or intermittent problem on the power supply board.
Diagnosing intermittent problems is a challenge.
You could get a contact burnishing tool and use it on the switch contacts, but this may be best left to an experienced tech. Another option is replacement. The manual provides no information on the specs of the power switch, but I would think something like this would work from a technical standpoint:
However, I don't know if the spacing of the mounting screws is correct.
@dankik can probably confirm its suitability from a technical standpoint.
Some switches have two sets of contacts; If yours does, the wiring to the switch can be changed to use the second pair.
Before taking it to the tech, a hail-mary solution would be to unplug the 3300 and then work the power switch rapidly in and out 25-30 times. If you are lucky, this might remove enough corrosion/oxidation for the switch to work more reliably (assuming the switch is even the problem)...