338274400 has 72 divisors (see below), whose sum is σ = 828696960. Its totient is φ = 134837760.

The previous prime is 338274361. The next prime is 338274403. The reversal of 338274400 is 4472833.

It is a happy number.

It is a super-2 number, since 2×338274400² = 228859139390720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338274403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310657 + ... + 311743.

It is an arithmetic number, because the mean of its divisors is an integer number (11509680).

Almost surely, 2^338274400 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 338274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414348480).

338274400 is an abundant number, since it is smaller than the sum of its proper divisors (490422560).

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

338274400 is a wasteful number, since it uses less digits than its factorization.

338274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 338274400 is about 18392.2374930295. The cubic root of 338274400 is about 696.7704288519.

The spelling of 338274400 in words is "three hundred thirty-eight million, two hundred seventy-four thousand, four hundred".