Answer
$N = 1.2 \times 10^{6}$
Work Step by Step
$N = \frac{R (T_{1/2} )}{ln 2}$
Where $R = 38/s$
$T_{1/2} = 6 h \times 3600 s$
$T_{1/2} = 2.16 \times 10^4 s$
so
$N = \frac{(38/s) (2.16 \times 10^4 s )}{0.694}$
$N = 1.2 \times 10^{6}$