338868400 has 60 divisors (see below), whose sum is σ = 876770272. Its totient is φ = 125118720.

The previous prime is 338868391. The next prime is 338868457. The reversal of 338868400 is 4868833.

It is a happy number.

It is a super-2 number, since 2×338868400² = 229663585037120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27384 + ... + 37783.

Almost surely, 2^338868400 is an apocalyptic number.

It is an amenable number.

338868400 is an abundant number, since it is smaller than the sum of its proper divisors (537901872).

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

338868400 is a wasteful number, since it uses less digits than its factorization.

338868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65198 (or 65187 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 338868400 is about 18408.3785271816. The cubic root of 338868400 is about 697.1780265655.

The spelling of 338868400 in words is "three hundred thirty-eight million, eight hundred sixty-eight thousand, four hundred".