3402312400 has 60 divisors (see below), whose sum is σ = 8180812332. Its totient is φ = 1359800320.

The previous prime is 3402312383. The next prime is 3402312401. The reversal of 3402312400 is 42132043.

It can be written as a sum of positive squares in 6 ways, for example, as 156816 + 3402155584 = 396^2 + 58328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402312401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 618462 + ... + 623938.

Almost surely, 2^3402312400 is an apocalyptic number.

It is an amenable number.

3402312400 is an abundant number, since it is smaller than the sum of its proper divisors (4778499932).

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

3402312400 is a wasteful number, since it uses less digits than its factorization.

3402312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3402312400 is about 58329.3442445567. The cubic root of 3402312400 is about 1504.0354153612.

Adding to 3402312400 its reverse (42132043), we get a palindrome (3444444443).

The spelling of 3402312400 in words is "three billion, four hundred two million, three hundred twelve thousand, four hundred".