338536704 has 108 divisors (see below), whose sum is σ = 990628688. Its totient is φ = 102558720.

The previous prime is 338536703. The next prime is 338536711. The reversal of 338536704 is 407635833.

It is a super-2 number, since 2×338536704² = 229214199910367232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (338536703) 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, 91107 + ... + 94749.

Almost surely, 2^338536704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338536704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495314344).

338536704 is an abundant number, since it is smaller than the sum of its proper divisors (652091984).

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

338536704 is a wasteful number, since it uses less digits than its factorization.

338536704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 338536704 is about 18399.3669456316. The cubic root of 338536704 is about 696.9504783925.

The spelling of 338536704 in words is "three hundred thirty-eight million, five hundred thirty-six thousand, seven hundred four".