Try opening the aperture of your lens as wide as it can go. The lower the f stop number, the wider the aperture. f/2.8 is wider than f/5.2 and so on. Also try reducing your shutter speed to 1/50. 1/48 is the norm for cinema, but 1/50 is as close as your camera can get.
Bear in mind that opening the aperture will cause a shallower depth of field, but this can be a good thing if you can control the focus. Not all lenses can open wide enough to eliminate noise in low light situations. I have a Nikkor 50mm f/1.8D lens and it is very good for low light at f/1.8. It won’t auto focus on a D3200 though, so you would need to do that manually. It takes some getting used to. At f/1.8 you would be leaving a lot more light get through to the sensor and could therefore try lowering your ISO to 100 which would reduce the noise even further.