338708864 has 64 divisors (see below), whose sum is σ = 751842000. Its totient is φ = 150915072.

The previous prime is 338708863. The next prime is 338708869. The reversal of 338708864 is 468807833.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×338708864² = 229447389104340992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338708863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44747 + ... + 51765.

Almost surely, 2^338708864 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 338708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375921000).

338708864 is an abundant number, since it is smaller than the sum of its proper divisors (413133136).

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

338708864 is a wasteful number, since it uses less digits than its factorization.

338708864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7075 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The square root of 338708864 is about 18404.0447728210. The cubic root of 338708864 is about 697.0686011438.

The spelling of 338708864 in words is "three hundred thirty-eight million, seven hundred eight thousand, eight hundred sixty-four".