338633604 has 27 divisors (see below), whose sum is σ = 856269687. Its totient is φ = 112841064.

The previous prime is 338633597. The next prime is 338633621. The reversal of 338633604 is 406336833.

It is a happy number.

The square root of 338633604 is 18402.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×338633604² = 229345435516057632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 108879 + ... + 111945.

Almost surely, 2^338633604 is an apocalyptic number.

338633604 is the 18402-nd square number.

It is an amenable number.

338633604 is an abundant number, since it is smaller than the sum of its proper divisors (517636083).

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

338633604 is an equidigital number, since it uses as much as digits as its factorization.

338633604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The cubic root of 338633604 is about 697.0169685329.

Multiplying 338633604 by its sum of digits (36), we get a square (12190809744 = 110412²).

338633604 divided by its sum of digits (36) gives a square (9406489 = 3067²).

The spelling of 338633604 in words is "three hundred thirty-eight million, six hundred thirty-three thousand, six hundred four".