Several samples containing HgBa2Ca2Cu3O8+delta (Hg-1223) as the main p
hase have been investigated. Specific-heat C-p(T) data measured on our
samples with the largest volume fraction Hg-1223 (approximate to 60%)
show a distinct discontinuity Delta C-p(T)(c) approximate to 27 mJ/mo
le K-2 at T-c. From measurements of the reversible magnetization M(H,T
) in the mixed state, we obtain approximate values for the London pene
tration depth lambda(ab)(0), for the coherence length xi(ab)(0), for t
he lower and the upper critical fields H-c1,H-c(0) and H-c2,H-c(0), re
spectively, and for the Ginzburg-Landau parameter K, valid for externa
l fields H//c axis. The location of the irreversibility line in the B-
T phase diagram allows us to estimate the anisotropy ratio gamma=lambd
a(c)/lambda(ab), while magnetization-loop data taken in the irreversib
le part of mixed state give information about the critical-current den
sities j(c) to be expected in Hg-1223. Tunneling-conductance investiga
tions with a scanning-tunneling microscope give a gap value Delta appr
oximate to 24 meV at T = 4.2 K.