3122404400 has 60 divisors (see below), whose sum is σ = 7543657800. Its totient is φ = 1241955840.

The previous prime is 3122404381. The next prime is 3122404403. The reversal of 3122404400 is 44042213.

It is a super-3 number, since 3×3122404400³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3122404403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49796 + ... + 93404.

It is an arithmetic number, because the mean of its divisors is an integer number (125727630).

Almost surely, 2^3122404400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771828900).

3122404400 is an abundant number, since it is smaller than the sum of its proper divisors (4421253400).

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

3122404400 is a wasteful number, since it uses less digits than its factorization.

3122404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43806 (or 43795 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3122404400 is about 55878.4788626176. The cubic root of 3122404400 is about 1461.6039793628.

Adding to 3122404400 its reverse (44042213), we get a palindrome (3166446613).

The spelling of 3122404400 in words is "three billion, one hundred twenty-two million, four hundred four thousand, four hundred".