338733720 has 96 divisors (see below), whose sum is σ = 1185584400. Its totient is φ = 83379456.

The previous prime is 338733701. The next prime is 338733727. The reversal of 338733720 is 27337833.

It is a super-2 number, since 2×338733720² = 229481066130076800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338733727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31510 + ... + 40869.

Almost surely, 2^338733720 is an apocalyptic number.

338733720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338733720 is an abundant number, since it is smaller than the sum of its proper divisors (846850680).

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

338733720 is a wasteful number, since it uses less digits than its factorization.

338733720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72409 (or 72402 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 338733720 is about 18404.7200467706. The cubic root of 338733720 is about 697.0856520836.

The spelling of 338733720 in words is "three hundred thirty-eight million, seven hundred thirty-three thousand, seven hundred twenty".