338000352 has 24 divisors (see below), whose sum is σ = 887251176. Its totient is φ = 112666752.

The previous prime is 338000297. The next prime is 338000357. The reversal of 338000352 is 253000833.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×338000352² = 228488475904247808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338000357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1760323 + ... + 1760514.

It is an arithmetic number, because the mean of its divisors is an integer number (36968799).

Almost surely, 2^338000352 is an apocalyptic number.

338000352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

338000352 is an abundant number, since it is smaller than the sum of its proper divisors (549250824).

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

338000352 is a wasteful number, since it uses less digits than its factorization.

338000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520850 (or 3520842 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 338000352 is about 18384.7858839857. The cubic root of 338000352 is about 696.5822185997.

The spelling of 338000352 in words is "three hundred thirty-eight million, three hundred fifty-two", and thus it is an aban number.