In general, one can say that veins bulge when they are full. Veins can be full because there is upstream obstruction to blood flow (eg. clots), or because the patient is well hydrated, or because the patient is hot and putting a lot of blood flow through the extremities and skin in an effort to cool off. Veins can also be prominent because they are clotted -- in this case, they do not collapse when pressure is applied to them. We often see this after IVs have been in place.
If there is upstream clot obstructing flow, then often the extremity will also become swollen with comparison to the other side.
There is not nearly enough information here to make any attempt at diagnosis on the internet. If the prominent veins are persistent and you are worried about them, have them examined by a physician.