Shamil, welcome to Tom's Hardware Forums!
The Nikon D3200 will serve you well. However, I must make some things clear.
The light required for a good exposure depends on the ISO setting as well as the lens. Let us look at these one at a time.
http/www.nikonusa.com/en/Nikon-Products/Product/Digital-slr-Cameras/25492/D3200.html
ISO setting: Higher ISO settings will need shorter exposure times and are useful in low light conditions. The D3200 can go from 100 to 6400 ISO. To give you an idea as to what 6400 ISO is, imagine a room with just one candle lit. 6400 ISO will enable a good exposure. There are some trade-offs to shooting at a high ISO and that is the pictures will not be fine grain. and should not be enlarged very much. An 8x10 will be ok.
Lens: Lenses with a lower F-stop setting such as 1.2 (or less) will work better in low light conditions as compared to lenses with an F-stop of 1.4 or higher (lower F-stop is better). The F-stop is a measure of the light gathering power of the lens. The lower the F-stop of the lens the higher the price.
This being said, what are your alternatives? Not much! Get the D3200 and practice.
Good luck!