The problem is not only in the frame geometry, but also in the frame size. It seems that the right size for a MTB for my heigth should be 18'' and the one that I bought is 19''. On the other hand, the right frame size for a hybrid bike should be 20-21'' for my height. So the MTB that I bought, despite having already hybrid tyres, doesn't have the frame dimensions neither of a MTB nor a hybrid bike and I think is small for me because I had to rise the saddle more than the normal for my leg extension be ok.
So I really don't know if I should swap the MTB for a hybrid one, considering also that the lattest that is for sale for the same price is v-break whereas the MTB that I bought has hydraulic discs.
Thank you for your help!