338538132 has 36 divisors (see below), whose sum is σ = 861506100. Its totient is φ = 112086912.

The previous prime is 338538131. The next prime is 338538209. The reversal of 338538132 is 231835833.

It can be written as a sum of positive squares in 2 ways, for example, as 35569296 + 302968836 = 5964^2 + 17406^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×338538132² = 229216133636098848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338538131) 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, 26193 + ... + 36920.

It is an arithmetic number, because the mean of its divisors is an integer number (23930725).

Almost surely, 2^338538132 is an apocalyptic number.

It is an amenable number.

338538132 is an abundant number, since it is smaller than the sum of its proper divisors (522967968).

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

338538132 is a wasteful number, since it uses less digits than its factorization.

338538132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63272 (or 63267 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 338538132 is about 18399.4057512736. The cubic root of 338538132 is about 696.9514583393.

The spelling of 338538132 in words is "three hundred thirty-eight million, five hundred thirty-eight thousand, one hundred thirty-two".