3131360400 has 240 divisors, whose sum is σ = 11539134464. Its totient is φ = 711037440.

The previous prime is 3131360399. The next prime is 3131360411. The reversal of 3131360400 is 40631313.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1368057 + ... + 1370343.

Almost surely, 2^3131360400 is an apocalyptic number.

3131360400 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 3131360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769567232).

3131360400 is an abundant number, since it is smaller than the sum of its proper divisors (8407774064).

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

3131360400 is a wasteful number, since it uses less digits than its factorization.

3131360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3131360400 is about 55958.5596669535. The cubic root of 3131360400 is about 1463.0000861222. Note that the first 4 decimals are identical.

Adding to 3131360400 its reverse (40631313), we get a palindrome (3171991713).

The spelling of 3131360400 in words is "three billion, one hundred thirty-one million, three hundred sixty thousand, four hundred".