338838816 has 48 divisors (see below), whose sum is σ = 890870400. Its totient is φ = 112766208.

The previous prime is 338838793. The next prime is 338838833. The reversal of 338838816 is 618838833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×338838816² = 229623486456563712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66570 + ... + 71478.

It is an arithmetic number, because the mean of its divisors is an integer number (18559800).

Almost surely, 2^338838816 is an apocalyptic number.

It is an amenable number.

338838816 is an abundant number, since it is smaller than the sum of its proper divisors (552031584).

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

338838816 is a wasteful number, since it uses less digits than its factorization.

338838816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5633 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 338838816 is about 18407.5749624985. The cubic root of 338838816 is about 697.1577375537.

The spelling of 338838816 in words is "three hundred thirty-eight million, eight hundred thirty-eight thousand, eight hundred sixteen".