Well, honey, let's break it down. If you add up the digits of 3870, you get 18. Now, if a number is divisible by 6, it must also be divisible by 3 and 2. Since 18 is divisible by both 3 and 6, then yes, 3870 is indeed divisible by 6. Math doesn't lie, darling.
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To determine if 3870 is divisible by 6, we need to check if it can be evenly divided by 6 without a remainder. We do this by dividing 3870 by 6. If the result is a whole number, then 3870 is divisible by 6. In this case, 3870 ÷ 6 = 645, which is a whole number. Therefore, 3870 is divisible by 6.