3131323272 has 448 divisors, whose sum is σ = 11584051200. Its totient is φ = 768424320.

The previous prime is 3131323271. The next prime is 3131323297. The reversal of 3131323272 is 2723231313.

3131323272 is a `hidden beast` number, since 313 + 1 + 323 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 not an unprimeable number, because it can be changed into a prime (3131323271) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8532033 + ... + 8532399.

Almost surely, 2^3131323272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131323272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5792025600).

3131323272 is an abundant number, since it is smaller than the sum of its proper divisors (8452727928).

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

3131323272 is a wasteful number, since it uses less digits than its factorization.

3131323272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 3131323272 is about 55958.2279204765. The cubic root of 3131323272 is about 1462.9943039195.

Adding to 3131323272 its reverse (2723231313), we get a palindrome (5854554585).

The spelling of 3131323272 in words is "three billion, one hundred thirty-one million, three hundred twenty-three thousand, two hundred seventy-two".