338979840 has 176 divisors, whose sum is σ = 1123066080. Its totient is φ = 87162880.

The previous prime is 338979827. The next prime is 338979871. The reversal of 338979840 is 48979833.

It is a super-2 number, since 2×338979840² = 229814663852851200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445060 + ... + 445820.

Almost surely, 2^338979840 is an apocalyptic number.

338979840 is a gapful number since it is divisible by the number (30) 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 338979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561533040).

338979840 is an abundant number, since it is smaller than the sum of its proper divisors (784086240).

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

338979840 is a wasteful number, since it uses less digits than its factorization.

338979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 338979840 is about 18411.4051609322. The cubic root of 338979840 is about 697.2544426650.

The spelling of 338979840 in words is "three hundred thirty-eight million, nine hundred seventy-nine thousand, eight hundred forty".