Abstract: A hypodermic syringe apparatus characterized by having an after-use condition which fosters safe handling--by virtue of the fact that the needle-part of the apparatus can be easily enshrouded in a protective member that is at least semi-rigid. A syringe has an elongated barrel with a generally cylindrical shape and a smooth longitudinal bore that is sized to receive a plunger; the barrel's outer surface is not circular. A protective shroud that is at least semi-rigid surrounds the barrel. The shroud has a length that is about the same as that of the barrel, and it has an internal shape that closely complements the external shape of the barrel. The shroud is designed to move with respect to the barrel only in a direction that is parallel to the barrel's longitudinal axis.