338238080 has 64 divisors (see below), whose sum is σ = 813127680. Its totient is φ = 134538240.

The previous prime is 338238079. The next prime is 338238101. The reversal of 338238080 is 80832833.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×338238080² = 228809997524172800, 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 338238080.

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, 120857 + ... + 123623.

It is an arithmetic number, because the mean of its divisors is an integer number (12705120).

Almost surely, 2^338238080 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 338238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406563840).

338238080 is an abundant number, since it is smaller than the sum of its proper divisors (474889600).

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

338238080 is a wasteful number, since it uses less digits than its factorization.

338238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 338238080 is about 18391.2500934548. The cubic root of 338238080 is about 696.7454909043.

The spelling of 338238080 in words is "three hundred thirty-eight million, two hundred thirty-eight thousand, eighty".