338838432 has 96 divisors (see below), whose sum is σ = 940875264. Its totient is φ = 106598400.

The previous prime is 338838427. The next prime is 338838439. The reversal of 338838432 is 234838833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×338838432² = 229622966000437248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (338838439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120628 + ... + 123404.

It is an arithmetic number, because the mean of its divisors is an integer number (9800784).

Almost surely, 2^338838432 is an apocalyptic number.

338838432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338838432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470437632).

338838432 is an abundant number, since it is smaller than the sum of its proper divisors (602036832).

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

338838432 is a wasteful number, since it uses less digits than its factorization.

338838432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2854 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 338838432 is about 18407.5645320069. The cubic root of 338838432 is about 697.1574741947.

The spelling of 338838432 in words is "three hundred thirty-eight million, eight hundred thirty-eight thousand, four hundred thirty-two".