In this talk, we will discuss about the global well-posedness for the multiplicative stochastic Hartree NLS in 3d with Hartree nonlinearity. The main tools are the paracontrolled description of the operator, its dispersive properties in the form of Strichartz estimates and almost conserved energies. We will also motivate the study of such equations by proving that it is the mean field limit of a suitably chosen N-body Quantum system under assumptions on the interaction. This is a joint work with Franceso De Vecchi and Immanuel Zachhuber.