3156936507729 has 27 divisors (see below), whose sum is σ = 4686886882587. Its totient is φ = 2047614671664.

The previous prime is 3156936507727. The next prime is 3156936507763. The reversal of 3156936507729 is 9277056396513.

The square root of 3156936507729 is 1776777.

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

3156936507729 is a `hidden beast` number, since 3 + 1 + 56 + 9 + 3 + 6 + 507 + 72 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2824870140225 + 332066367504 = 1680735^2 + 576252^2 .

It is not a de Polignac number, because 3156936507729 - 2¹ = 3156936507727 is a prime.

It is a super-2 number, since 2×3156936507729² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3156936507727) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 197214244 + ... + 197230250.

Almost surely, 2^{3156936507729} is an apocalyptic number.

3156936507729 is the 1776777-th square number.

3156936507729 is the 888389-th centered octagonal number.

It is an amenable number.

3156936507729 is a deficient number, since it is larger than the sum of its proper divisors (1529950374858).

3156936507729 is an frugal number, since it uses more digits than its factorization.

3156936507729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32094 (or 16047 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 63.

The spelling of 3156936507729 in words is "three trillion, one hundred fifty-six billion, nine hundred thirty-six million, five hundred seven thousand, seven hundred twenty-nine".