We have conducted numerical study for a 3D flapping wing in hovering using computational fluid dynamics, considering airfoils of a bumblebee and a morphing airfoil by controlling a hinge angle connecting the fore- And hindwings. The aerodynamic effects of insect airfoils have been investigated in addition to the effect of the variable-cambered flapping airfoil. The corrugation of a bumblebee is little effective on aerodynamic characteristics of a flapping wing. Positive cambered airfoils are effective on the aerodynamic characteristics. However, the effect is canceled out in the up- And downstrokes. As a result, the airfoils of the bumblebee do not exceed the flat plate airfoil in time-averaged aerodynamic characteristics for a flapping cycle, if the airfoil is rigid. By controlling the hinge angle connecting the fore- And hindwings, preferable camber can be attained in both the up- And downstrokes. As a result, the hinge-controlled variable-camber airfoil shows about 14% increase in the time-averaged lift coefficient compared to the rigid flat airfoil.