3131631144 has 24 divisors (see below), whose sum is σ = 8481501210. Its totient is φ = 1043877024.

The previous prime is 3131631137. The next prime is 3131631169. The reversal of 3131631144 is 4411361313.

3131631144 is a `hidden beast` number, since 3 + 13 + 1 + 631 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2773286244 + 358344900 = 52662^2 + 18930^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3131631144² = 19614227244141497472, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 21747367 + ... + 21747510.

Almost surely, 2^3131631144 is an apocalyptic number.

It is an amenable number.

3131631144 is an abundant number, since it is smaller than the sum of its proper divisors (5349870066).

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

3131631144 is a wasteful number, since it uses less digits than its factorization.

3131631144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43494889 (or 43494882 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3131631144 is about 55960.9787619909. The cubic root of 3131631144 is about 1463.0422495943.

Adding to 3131631144 its reverse (4411361313), we get a palindrome (7542992457).

The spelling of 3131631144 in words is "three billion, one hundred thirty-one million, six hundred thirty-one thousand, one hundred forty-four".