Despite the fact that quasars are generally strong X-ray emitters, ROSAT di
scovered several objects with only very weak X-ray emission. In this paper,
the X-ray data from ASCA and ROSAT and the UV spectra from Hubble Space Te
lescope (HST) and IUE of one of these quasars, PG 0844+349, are analyzed. T
he ROSAT spectrum can be well fitted by a single power law with Galactic ab
sorption. No spectral variations were observed during changes of the 0.1-2.
4 keV X-ray flux by a factor of 10 between the ROSAT All-Sky Survey and poi
nted observations, separated by 6 months. The ASCA satellite found the obje
ct in a high state with a photon index of 1.98 and an Fe K alpha line with
EW similar to 300 eV. The X-ray flux in the 2-10 keV band is highly variabl
e; the fastest variation detected is 60% in less than 2 x 10(4) s. The meas
ured excess variance fits well the excess variance versus L2-10kev relation
for Seyfert 1 galaxies; the flux variability in the 0.5-2.0 keV band shows
a slightly higher amplitude than in the 2-10 keV band. We show that the op
tical microvariability of this object can actually be driven by reprocessin
g of the variable X-ray flux if one-half of the absorbed X-rays are reradia
ted in the optical-to-UV band. A weak broad intrinsic absorption line (FWHM
similar or equal to 800 km s(-1)), most likely Ly alpha absorption blueshi
fted by a velocity similar or equal to -6000 km s(-1) relative to the quasa
r's rest frame, is found in the HST Faint Object Spectrograph spectrum. A s
imilar C IV broad absorption line may also be present in the low-resolution
IUE spectrum. Historic light curves in the X-ray, UV, and optical bands in
dicate that the variability amplitude in the UV and optical bands is much s
maller than in the X-ray band. The QSO can be classified as X-ray weak only
on one occasion out of five X-ray observations. An analysis of the long-te
rm behavior of several other X-ray-weak objects shows no indications of a s
imilar large X-ray variability.