338591872 has 32 divisors (see below), whose sum is σ = 677493180. Its totient is φ = 168554496.

The previous prime is 338591833. The next prime is 338591879. The reversal of 338591872 is 278195833.

338591872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 313431616 + 25160256 = 17704^2 + 5016^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×338591872² = 229288911568928768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338591879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24148 + ... + 35500.

Almost surely, 2^338591872 is an apocalyptic number.

338591872 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 338591872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338746590).

338591872 is an abundant number, since it is smaller than the sum of its proper divisors (338901308).

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

338591872 is a wasteful number, since it uses less digits than its factorization.

338591872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11600 (or 11588 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 338591872 is about 18400.8660665741. The cubic root of 338591872 is about 696.9883347265.

It can be divided in two parts, 338 and 591872, that multiplied together give a square (200052736 = 14144²).

The spelling of 338591872 in words is "three hundred thirty-eight million, five hundred ninety-one thousand, eight hundred seventy-two".