338235072 has 56 divisors (see below), whose sum is σ = 1022762496. Its totient is φ = 96638208.

The previous prime is 338235071. The next prime is 338235089. The reversal of 338235072 is 270532833.

338235072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×338235072² = 228805927861690368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338235071) 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, 124488 + ... + 127175.

It is an arithmetic number, because the mean of its divisors is an integer number (18263616).

Almost surely, 2^338235072 is an apocalyptic number.

338235072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

338235072 is an abundant number, since it is smaller than the sum of its proper divisors (684527424).

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

338235072 is a wasteful number, since it uses less digits than its factorization.

338235072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251685 (or 251675 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 338235072 is about 18391.1683152539. The cubic root of 338235072 is about 696.7434254788.

The spelling of 338235072 in words is "three hundred thirty-eight million, two hundred thirty-five thousand, seventy-two".