  We systematically study the electromagnetic properties of multiquark states.
In this study, inspired by the recent series of studies that showed the likely
existence of a $ D \bar D^* K$ state, we examine the magnetic moment of $ D
\bar D^* K$ hexaquark state in three-meson molecular structure, as well as
having isospin and spin-parity quantum numbers $I(J^P) =3/2(1^-)$ via
light-cone sum rules. The magnetic moment obtained for the $ D \bar D^* K$
molecular hexaquark state is quite large due to the double electric charge, and
its magnitude indicates that it is accessible in future experiments. As a
byproduct, the quadrupole moment of the $ D \bar D^* K$ molecular hexaquark
state is also extracted. This value indicates a non-spherical charge
distribution. The magnetic moments of hadrons contains valuable knowledge on
the distributions of charge and magnetization their inside, which can be used
to better understand their geometric shape and quark-gluon organizations. The
results given in this study constitute an estimate of the magnetic moment of
this $D \bar D^* K$ state and should serve as an inspiration to conduct
experimental examinations of this state.
