338606080 has 96 divisors (see below), whose sum is σ = 832431600. Its totient is φ = 132120576.

The previous prime is 338606077. The next prime is 338606159. The reversal of 338606080 is 80606833.

It is a super-2 number, since 2×338606080² = 229308154825932800, 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 7 ways as a sum of consecutive naturals, for example, 439936 + ... + 440704.

Almost surely, 2^338606080 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 338606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416215800).

338606080 is an abundant number, since it is smaller than the sum of its proper divisors (493825520).

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

338606080 is an equidigital number, since it uses as much as digits as its factorization.

338606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 338606080 is about 18401.2521313089. The cubic root of 338606080 is about 696.9980836037.

The spelling of 338606080 in words is "three hundred thirty-eight million, six hundred six thousand, eighty".