A semiconductor device includes a semiconductor chip including a substrate having a first surface and a second surface arranged opposite to the first surface; and a microelectromechanical systems (MEMS) element, including a sensitive area, disposed at the first surface of the substrate. The semiconductor device further includes at least one electrical interconnect structure electrically connected to the first surface of the substrate, and a flexible carrier electrically connected to the at least one electrical interconnect structure, where the flexible carrier wraps around the semiconductor chip and extends over the second surface of the substrate such that a folded cavity is formed around the semiconductor chip.