338646792 has 96 divisors (see below), whose sum is σ = 950231520. Its totient is φ = 99740160.

The previous prime is 338646787. The next prime is 338646793. The reversal of 338646792 is 297646833.

It is a super-2 number, since 2×338646792² = 229363299463782528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338646793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360948 + ... + 361884.

It is an arithmetic number, because the mean of its divisors is an integer number (9898245).

Almost surely, 2^338646792 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 338646792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475115760).

338646792 is an abundant number, since it is smaller than the sum of its proper divisors (611584728).

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

338646792 is a wasteful number, since it uses less digits than its factorization.

338646792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 990 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 338646792 is about 18402.3583271275. The cubic root of 338646792 is about 697.0260167985.

The spelling of 338646792 in words is "three hundred thirty-eight million, six hundred forty-six thousand, seven hundred ninety-two".