3816

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Number

$3816$ (three thousand, eight hundred and sixteen) is:

$2^3 \times 3^2 \times 53$

The $36$th octagonal number, after $1$, $8$, $21$, $40$, $65$, $\ldots$, $2296$, $2465$, $2640$, $2821$, $3008$, $3201$, $3400$, $3605$:

$3816 = \ds \sum_{k \mathop = 1}^{36} \paren {6 k - 5} = 36 \paren {3 \times 36 - 2}$

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