  Recent measurements showed that the period derivative of the 'high-B' radio
pulsar PSR J1734-3333 is increasing with time. For neutron stars evolving with
fallback disks, this rotational behavior is expected in certain phases of the
long-term evolution. Using the same model as employed earlier to explain the
evolution of anomalous X-ray pulsars and soft gamma-ray repeaters, we show that
the period, the first and second period derivatives and the X-ray luminosity of
this source can simultaneously acquire the observed values for a neutron star
evolving with a fallback disk. We find that the required strength of the dipole
field that can produce the source properties is in the range of 10^{12} -
10^{13} G on the pole of the neutron star. When the model source reaches the
current state properties of PSR J1734-3333, accretion onto the star has not
started yet, allowing the source to operate as a regular radio pulsar. Our
results imply that PSR J1734-3333 is at an age of ~ 3 x 10^4 - 2 x 10^5 years.
Such sources will have properties like the X-ray dim isolated neutron stars or
transient AXPs at a later epoch of weak accretion from the diminished fallback
disk.
