To convert \(3.875 \times 10^3\) meters to kilometers, we need to divide by 1,000 (since 1 kilometer = 1,000 meters).
\[ 3.875 \times 10^3 \text{ meters} = \frac{3.875 \times 10^3}{1,000} \text{ kilometers} \]
Calculating this:
\[ = 3.875 \times 10^3 \div 10^3 \]
\[ = 3.875 \times 10^{3-3} \]
\[ = 3.875 \times 10^0 \]
\[ = 3.875 \text{ kilometers} \]
Thus, the final answer is:
\[ \boxed{3.875} \text{ kilometers} \]