3137829617664 has 405 divisors, whose sum is σ = 10560518404527. Its totient is φ = 895162318848.

The previous prime is 3137829617653. The next prime is 3137829617683. The reversal of 3137829617664 is 4667169287313.

It is a happy number.

The square root of 3137829617664 is 1771392.

It is a perfect power (a square), and thus also a powerful number.

3137829617664 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 8 + 2 + 9 + 617 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4761501367 + ... + 4761502025.

Almost surely, 2^{3137829617664} is an apocalyptic number.

3137829617664 is the 1771392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3137829617664

3137829617664 is an abundant number, since it is smaller than the sum of its proper divisors (7422688786863).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3137829617664 is an frugal number, since it uses more digits than its factorization.

3137829617664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 671 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 3137829617664 in words is "three trillion, one hundred thirty-seven billion, eight hundred twenty-nine million, six hundred seventeen thousand, six hundred sixty-four".