3113402400 has 144 divisors (see below), whose sum is σ = 11260216800. Its totient is φ = 830234880.

The previous prime is 3113402359. The next prime is 3113402419. The reversal of 3113402400 is 42043113.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50470 + ... + 93669.

It is an arithmetic number, because the mean of its divisors is an integer number (78195950).

Almost surely, 2^3113402400 is an apocalyptic number.

3113402400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3113402400 is an abundant number, since it is smaller than the sum of its proper divisors (8146814400).

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

3113402400 is a wasteful number, since it uses less digits than its factorization.

3113402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144168 (or 144149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3113402400 is about 55797.8709271241. The cubic root of 3113402400 is about 1460.1980090484.

Adding to 3113402400 its reverse (42043113), we get a palindrome (3155445513).

The spelling of 3113402400 in words is "three billion, one hundred thirteen million, four hundred two thousand, four hundred".