338994432 has 108 divisors (see below), whose sum is σ = 1117086880. Its totient is φ = 96850944.

The previous prime is 338994391. The next prime is 338994443. The reversal of 338994432 is 234499833.

It is a super-2 number, since 2×338994432² = 229834449854005248, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5619 + ... + 26637.

Almost surely, 2^338994432 is an apocalyptic number.

338994432 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 338994432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558543440).

338994432 is an abundant number, since it is smaller than the sum of its proper divisors (778092448).

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

338994432 is a wasteful number, since it uses less digits than its factorization.

338994432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21048 (or 21031 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 338994432 is about 18411.8014327768. The cubic root of 338994432 is about 697.2644473808.

The spelling of 338994432 in words is "three hundred thirty-eight million, nine hundred ninety-four thousand, four hundred thirty-two".