3129731136 has 441 divisors, whose sum is σ = 11132503389. Its totient is φ = 870041088.

The previous prime is 3129731123. The next prime is 3129731149. The reversal of 3129731136 is 6311379213.

The square root of 3129731136 is 55944.

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

It is an interprime number because it is at equal distance from previous prime (3129731123) and next prime (3129731149).

It can be written as a sum of positive squares in only one way, i.e., 2800526400 + 329204736 = 52920^2 + 18144^2 .

It is a tau number, because it is divible by the number of its divisors (441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3129731136.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 84587310 + ... + 84587346.

Almost surely, 2^3129731136 is an apocalyptic number.

3129731136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3129731136 is the 55944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3129731136

3129731136 is an abundant number, since it is smaller than the sum of its proper divisors (8002772253).

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

3129731136 is an frugal number, since it uses more digits than its factorization.

3129731136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 49 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The cubic root of 3129731136 is about 1462.7463064450.

Multiplying 3129731136 by its sum of digits (36), we get a square (112670320896 = 335664²).

3129731136 divided by its sum of digits (36) gives a square (86936976 = 9324²).

The spelling of 3129731136 in words is "three billion, one hundred twenty-nine million, seven hundred thirty-one thousand, one hundred thirty-six".