3456400 has 30 divisors (see below), whose sum is σ = 8304962. Its totient is φ = 1382400.

The previous prime is 3456379. The next prime is 3456403. The reversal of 3456400 is 46543.

3456400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 3444736 = 108^2 + 1856^2 .

It is not an unprimeable number, because it can be changed into a prime (3456403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3921 + ... + 4720.

Almost surely, 2^3456400 is an apocalyptic number.

It is an amenable number.

3456400 is an abundant number, since it is smaller than the sum of its proper divisors (4848562).

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

3456400 is a wasteful number, since it uses less digits than its factorization.

3456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8659 (or 8648 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 3456400 is about 1859.1395859375. The cubic root of 3456400 is about 151.1963587302.

The spelling of 3456400 in words is "three million, four hundred fifty-six thousand, four hundred".