3131214240 has 192 divisors, whose sum is σ = 12297277440. Its totient is φ = 650634240.

The previous prime is 3131214211. The next prime is 3131214277. The reversal of 3131214240 is 424121313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5400 + ... + 79319.

It is an arithmetic number, because the mean of its divisors is an integer number (64048320).

Almost surely, 2^3131214240 is an apocalyptic number.

3131214240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148638720).

3131214240 is an abundant number, since it is smaller than the sum of its proper divisors (9166063200).

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

3131214240 is a wasteful number, since it uses less digits than its factorization.

3131214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84755 (or 84747 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3131214240 is about 55957.2536852909. The cubic root of 3131214240 is about 1462.9773233405.

Adding to 3131214240 its reverse (424121313), we get a palindrome (3555335553).

The spelling of 3131214240 in words is "three billion, one hundred thirty-one million, two hundred fourteen thousand, two hundred forty".