338363872 has 96 divisors (see below), whose sum is σ = 846526464. Its totient is φ = 129292800.

The previous prime is 338363863. The next prime is 338363891. The reversal of 338363872 is 278363833.

It is a super-2 number, since 2×338363872² = 228980219749664768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 129297 + ... + 131887.

It is an arithmetic number, because the mean of its divisors is an integer number (8817984).

Almost surely, 2^338363872 is an apocalyptic number.

338363872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338363872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423263232).

338363872 is an abundant number, since it is smaller than the sum of its proper divisors (508162592).

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

338363872 is a wasteful number, since it uses less digits than its factorization.

338363872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2664 counting only the distinct ones).

The product of its digits is 435456, while the sum is 43.

The square root of 338363872 is about 18394.6696627039. The cubic root of 338363872 is about 696.8318542788.

The spelling of 338363872 in words is "three hundred thirty-eight million, three hundred sixty-three thousand, eight hundred seventy-two".