To convert meters to kilometers, you can use the conversion factor that 1 kilometer is equal to 1000 meters.
Starting with the given value in meters:
\[ 3.875 \times 10^9 \text{ meters} \]
To convert this to kilometers, divide by 1000 (which is the same as multiplying by \(10^{-3}\)):
\[ 3.875 \times 10^9 \text{ meters} \times \frac{1 \text{ kilometer}}{1000 \text{ meters}} = 3.875 \times 10^9 \text{ meters} \times 10^{-3} \text{ kilometers} \]
Now, when you multiply the exponents:
\[ 3.875 \times 10^{9 - 3} = 3.875 \times 10^6 \text{ kilometers} \]
Thus, the result is:
\[ \boxed{3.875 \times 10^6} \text{ kilometers} \]