3133872361 has 27 divisors (see below), whose sum is σ = 3460343439. Its totient is φ = 2837564928.

The previous prime is 3133872353. The next prime is 3133872421. The reversal of 3133872361 is 1632783313.

The square root of 3133872361 is 55981.

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

It can be written as a sum of positive squares in 13 ways, for example, as 402764761 + 2731107600 = 20069^2 + 52260^2 .

It is not a de Polignac number, because 3133872361 - 2³ = 3133872353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3133872361.

It is not an unprimeable number, because it can be changed into a prime (3133872311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35212005 + ... + 35212093.

Almost surely, 2^3133872361 is an apocalyptic number.

3133872361 is the 55981-st square number.

3133872361 is the 27991-st centered octagonal number.

It is an amenable number.

3133872361 is a deficient number, since it is larger than the sum of its proper divisors (326471078).

3133872361 is an frugal number, since it uses more digits than its factorization.

3133872361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its digits is 54432, while the sum is 37.

The cubic root of 3133872361 is about 1463.3911852441.

The spelling of 3133872361 in words is "three billion, one hundred thirty-three million, eight hundred seventy-two thousand, three hundred sixty-one".