338286080 has 160 divisors (see below), whose sum is σ = 909504288. Its totient is φ = 119603200.

The previous prime is 338286037. The next prime is 338286197. The reversal of 338286080 is 80682833.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×338286080² = 228874943843532800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1154414 + ... + 1154706.

Almost surely, 2^338286080 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 338286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454752144).

338286080 is an abundant number, since it is smaller than the sum of its proper divisors (571218208).

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

338286080 is a wasteful number, since it uses less digits than its factorization.

338286080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 338286080 is about 18392.5550155491. Note that the first 3 decimals coincide. The cubic root of 338286080 is about 696.7784481649.

The spelling of 338286080 in words is "three hundred thirty-eight million, two hundred eighty-six thousand, eighty".