3122414304 has 96 divisors (see below), whose sum is σ = 8276276736. Its totient is φ = 1030717440.

The previous prime is 3122414297. The next prime is 3122414359. The reversal of 3122414304 is 4034142213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6685879 + ... + 6686345.

It is an arithmetic number, because the mean of its divisors is an integer number (86211216).

Almost surely, 2^3122414304 is an apocalyptic number.

It is an amenable number.

3122414304 is an abundant number, since it is smaller than the sum of its proper divisors (5153862432).

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

3122414304 is a wasteful number, since it uses less digits than its factorization.

3122414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3122414304 is about 55878.5674834278. The cubic root of 3122414304 is about 1461.6055247222.

Adding to 3122414304 its reverse (4034142213), we get a palindrome (7156556517).

The spelling of 3122414304 in words is "three billion, one hundred twenty-two million, four hundred fourteen thousand, three hundred four".