338472384 has 224 divisors, whose sum is σ = 1010472960. Its totient is φ = 99532800.

The previous prime is 338472383. The next prime is 338472391. The reversal of 338472384 is 483274833.

It is a super-2 number, since 2×338472384² = 229127109461286912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338472383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4636572 + ... + 4636644.

It is an arithmetic number, because the mean of its divisors is an integer number (4511040).

Almost surely, 2^338472384 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 338472384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505236480).

338472384 is an abundant number, since it is smaller than the sum of its proper divisors (672000576).

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

338472384 is a wasteful number, since it uses less digits than its factorization.

338472384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 338472384 is about 18397.6189763784. The cubic root of 338472384 is about 696.9063367544.

The spelling of 338472384 in words is "three hundred thirty-eight million, four hundred seventy-two thousand, three hundred eighty-four".