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Is there a simple way to compute the number of ways to write a positive integer as the sum of three squares?

Is there a nice expression for the number of points in $\mathbb{Z}^3$ which lie a distance of $\sqrt{n}$ from the origin? Here, $n$ is of course a positive integer.

    Post Closed as "exact duplicate" by François G. Dorais, Qiaochu Yuan, Noah Snyder, Hailong Dao, Reid Barton

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Is there a nice expression for the number of points in $\mathbb{Z}^3$ which lie at precisely a distance of $\sqrt{n}$ from the origin? Here, $n$ is of course a positive integer.

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