Nikon S8000 has a 14.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CCD sensor and features Expeed C2 processor. On the other hand, Nikon S3600 has a 20.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CCD sensor .
Nikon S3600's sensor provides 6MP more than Nikon S8000's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Below you can see the S8000 and S3600 sensor size comparison.
Nikon S8000 and Nikon S3600 have sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture. On the other hand, since Nikon S8000 has 42% larger pixel area compared to Nikon S3600, it has potential to collect more light on pixel level hence have less noise in low light / High ISO images.