The Earth has a mass of \(5.972 \times 10^{24} \mathrm{~kg}\), while the Moon has a mass of \(7.348 \times 10^{22} \mathrm{~kg}\). Calculate the gravitational potential energy of the Earth-Moon system when the distance between the two bodies is \(3.844 \times 10^{5} \mathrm{~km}\).