3106404022400 has 96 divisors (see below), whose sum is σ = 8770044276480. Its totient is φ = 1065052800000.

The previous prime is 3106404022391. The next prime is 3106404022417. The reversal of 3106404022400 is 42204046013.

It is a self number, because there is not a number n which added to its sum of digits gives 3106404022400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69316976 + ... + 69361775.

It is an arithmetic number, because the mean of its divisors is an integer number (91354627880).

Almost surely, 2^{3106404022400} is an apocalyptic number.

It is an amenable number.

3106404022400 is an abundant number, since it is smaller than the sum of its proper divisors (5663640254080).

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

3106404022400 is a wasteful number, since it uses less digits than its factorization.

3106404022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138678782 (or 138678765 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 3106404022400 its reverse (42204046013), we get a palindrome (3148608068413).

The spelling of 3106404022400 in words is "three trillion, one hundred six billion, four hundred four million, twenty-two thousand, four hundred".