338980824 has 288 divisors, whose sum is σ = 1213758000. Its totient is φ = 84478464.

The previous prime is 338980819. The next prime is 338980853. The reversal of 338980824 is 428089833.

338980824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338980824² = 229815998079437952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338980824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 871222 + ... + 871610.

Almost surely, 2^338980824 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 338980824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606879000).

338980824 is an abundant number, since it is smaller than the sum of its proper divisors (874777176).

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

338980824 is a wasteful number, since it uses less digits than its factorization.

338980824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 338980824 is about 18411.4318834794. The cubic root of 338980824 is about 697.2551173342.

The spelling of 338980824 in words is "three hundred thirty-eight million, nine hundred eighty thousand, eight hundred twenty-four".