338438080 has 56 divisors (see below), whose sum is σ = 807524928. Its totient is φ = 135103488.

The previous prime is 338438071. The next prime is 338438083. The reversal of 338438080 is 80834833.

It is a super-2 number, since 2×338438080² = 229080667988172800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338438083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254377 + ... + 255703.

It is an arithmetic number, because the mean of its divisors is an integer number (14420088).

Almost surely, 2^338438080 is an apocalyptic number.

It is an amenable number.

338438080 is an abundant number, since it is smaller than the sum of its proper divisors (469086848).

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

338438080 is a wasteful number, since it uses less digits than its factorization.

338438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 338438080 is about 18396.6866582002. The cubic root of 338438080 is about 696.8827922607.

The spelling of 338438080 in words is "three hundred thirty-eight million, four hundred thirty-eight thousand, eighty".