We have measured the reversible magnetization M(H, T) for grain-aligne
d HgBa2Ca2Cu3O8+delta. Our data exhibit a clear vortex fluctuation abo
ut 6 K below the superconducting onset temperature. The derived in-pla
ne magnetic penetration depth lambda(ab)(0) is 1700 angstrom which is
similar to those of other high-T(c) superconductors. In addition, the
zero-temperature GL coherence length xi(ab)(0) is 22 +/- 5 angstrom, w
hich implies GL parameter K = 77 +/- 13. This kappa is much greater th
an that of HgBa2CuO6, but similar to that of YBa2Cu3O7.