Answer
$362$ people per square mile
Work Step by Step
Dividing the population by the land area, then the population density is
\begin{array}{l}\require{cancel}
\dfrac{1.34\times10^9}{3.705\times10^6}
\\=
\dfrac{1.34}{3.705}\times\dfrac{10^9}{10^6}
\\=
0.36167341430499325236167341430499\times10^{9-6}
\\=
0.36167341430499325236167341430499\times10^{3}
\\=
361.67341430499325236167341430499
.\end{array}
Hence, the population density, rounded to the nearest whole, number is $\text{
$362$ people per square mile
}.$