338243472 has 360 divisors, whose sum is σ = 1231245600. Its totient is φ = 88397568.

The previous prime is 338243447. The next prime is 338243483. The reversal of 338243472 is 274342833.

It is a super-3 number, since 3×338243472³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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

Its product of digits (96768) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11663554 + ... + 11663582.

Almost surely, 2^338243472 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 338243472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615622800).

338243472 is an abundant number, since it is smaller than the sum of its proper divisors (893002128).

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

338243472 is a wasteful number, since it uses less digits than its factorization.

338243472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 60 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 338243472 is about 18391.3966843195. The cubic root of 338243472 is about 696.7491932587.

The spelling of 338243472 in words is "three hundred thirty-eight million, two hundred forty-three thousand, four hundred seventy-two".