338615472 has 80 divisors (see below), whose sum is σ = 955438848. Its totient is φ = 102708480.

The previous prime is 338615471. The next prime is 338615479. The reversal of 338615472 is 274516833.

It is a super-2 number, since 2×338615472² = 229320875755565568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 338615472.

It is not an unprimeable number, because it can be changed into a prime (338615471) 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, 40483 + ... + 48125.

Almost surely, 2^338615472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338615472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477719424).

338615472 is an abundant number, since it is smaller than the sum of its proper divisors (616823376).

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

338615472 is a wasteful number, since it uses less digits than its factorization.

338615472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7738 (or 7732 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 338615472 is about 18401.5073295641. The cubic root of 338615472 is about 697.0045278131.

The spelling of 338615472 in words is "three hundred thirty-eight million, six hundred fifteen thousand, four hundred seventy-two".