338985680 has 80 divisors (see below), whose sum is σ = 874497600. Its totient is φ = 121159680.

The previous prime is 338985679. The next prime is 338985709. The reversal of 338985680 is 86589833.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×338985680² = 229822582490124800, 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, 48656 + ... + 55184.

It is an arithmetic number, because the mean of its divisors is an integer number (10931220).

Almost surely, 2^338985680 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 338985680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437248800).

338985680 is an abundant number, since it is smaller than the sum of its proper divisors (535511920).

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

338985680 is a wasteful number, since it uses less digits than its factorization.

338985680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The square root of 338985680 is about 18411.5637575954. The cubic root of 338985680 is about 697.2584467798.

The spelling of 338985680 in words is "three hundred thirty-eight million, nine hundred eighty-five thousand, six hundred eighty".