GRB 170331***A***, Swift-BAT refined analysis S. D. Barthelmy (GSFC), J. R. Cummings (CPI), H. A. Krimm (NSF/USRA), A. Y. Lien (GSFC/UMBC), C. B. Markwardt (GSFC), D. M. Palmer (LANL), T. Sakamoto (AGU), M. Stamatikos (OSU), T. N. Ukwatta (LANL) (i.e. the Swift-BAT team): Using the data set from T-239 to T+963 sec from the recent telemetry downlink, we report further analysis of BAT GRB 170331***A*** (trigger #744791) (NAME, et al., GCN Circ. xxxx). The BAT ground-calculated position is RA, Dec = 323.778, -24.405 deg which is RA(J2000) = 21h 35m 06.7s Dec(J2000) = -24d 24' 19.5" with an uncertainty of 2.0 arcmin, (radius, sys+stat, 90% containment). The partial coding was 18%. [Description about the mask-weighted light curve] T90 (15-350 keV) is 17.6 +- 2.5 sec (estimated error including systematics). The time-averaged spectrum from T-2.8 to T+17.2 sec is best fit by a power law with an exponential cutoff. This fit gives a photon index 0.36 +- 1.20, and Epeak of 48.0 +- 12.4 keV (chi squared 62.20 for 56 d.o.f.). For this model the total fluence in the 15-150 keV band is 9.7 +- 1.6 x 10^-07 erg/cm2 and the 1-sec peak flux measured from T+0.42 sec in the 15-150 keV band is 1.2 +- 0.4 ph/cm2/sec. A fit to a simple power law gives a photon index of 1.87 +- 0.21 (chi squared 68.89 for 57 d.o.f.). All the quoted errors are at the 90% confidence level. The results of the batgrbproduct analysis are available at http://gcn.gsfc.nasa.gov/notices_s/744791/BA/