338819680 has 24 divisors (see below), whose sum is σ = 800461872. Its totient is φ = 135527808.

The previous prime is 338819671. The next prime is 338819687. The reversal of 338819680 is 86918833.

It is a super-2 number, since 2×338819680² = 229597551110604800, 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 338819680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338819687) 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 3 ways as a sum of consecutive naturals, for example, 1058652 + ... + 1058971.

It is an arithmetic number, because the mean of its divisors is an integer number (33352578).

Almost surely, 2^338819680 is an apocalyptic number.

It is an amenable number.

338819680 is an abundant number, since it is smaller than the sum of its proper divisors (461642192).

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

338819680 is a wasteful number, since it uses less digits than its factorization.

338819680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117638 (or 2117630 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 338819680 is about 18407.0551691464. The cubic root of 338819680 is about 697.1446132588.

The spelling of 338819680 in words is "three hundred thirty-eight million, eight hundred nineteen thousand, six hundred eighty".