338532768 has 288 divisors, whose sum is σ = 1179360000. Its totient is φ = 91897344.

The previous prime is 338532751. The next prime is 338532769. The reversal of 338532768 is 867235833.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×338532768² = 229208870019483648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338532769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2271958 + ... + 2272106.

It is an arithmetic number, because the mean of its divisors is an integer number (4095000).

Almost surely, 2^338532768 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 338532768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680000).

338532768 is an abundant number, since it is smaller than the sum of its proper divisors (840827232).

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

338532768 is a wasteful number, since it uses less digits than its factorization.

338532768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 338532768 is about 18399.2599851190. The cubic root of 338532768 is about 696.9477773484.

The spelling of 338532768 in words is "three hundred thirty-eight million, five hundred thirty-two thousand, seven hundred sixty-eight".