338945382 has 48 divisors (see below), whose sum is σ = 778607232. Its totient is φ = 106375680.

The previous prime is 338945381. The next prime is 338945437. The reversal of 338945382 is 283549833.

338945382 is a `hidden beast` number, since 33 + 89 + 4 + 538 + 2 = 666.

It is a super-2 number, since 2×338945382² = 229767943958251848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338945381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12438 + ... + 28854.

It is an arithmetic number, because the mean of its divisors is an integer number (16220984).

Almost surely, 2^338945382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338945382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389303616).

338945382 is an abundant number, since it is smaller than the sum of its proper divisors (439661850).

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

338945382 is a wasteful number, since it uses less digits than its factorization.

338945382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16493 (or 16490 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 338945382 is about 18410.4693584927. The cubic root of 338945382 is about 697.2308160803.

The spelling of 338945382 in words is "three hundred thirty-eight million, nine hundred forty-five thousand, three hundred eighty-two".