Both Nikon D3200 and Nikon D3400 have APS-C sized 24.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Another difference between these two cameras is that Nikon D3400's sensor lacks anti-alias (Low-Pass) filter. Removing anti-alias filter increases the sharpness and level of detail but at the same time, it increases the chance of moire occurring in certain scenes.
Below you can see the D3200 and D3400 sensor size comparison.
Nikon D3200 and Nikon D3400 have almost the same sensor size so none of them has any significant advantage over other in providing control over depth of field when used with same focal length and aperture.