338878680 has 256 divisors, whose sum is σ = 1296000000. Its totient is φ = 69009408.

The previous prime is 338878643. The next prime is 338878703. The reversal of 338878680 is 86878833.

It is a super-2 number, since 2×338878680² = 229677519517084800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270696 + ... + 271944.

It is an arithmetic number, because the mean of its divisors is an integer number (5062500).

Almost surely, 2^338878680 is an apocalyptic number.

338878680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338878680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648000000).

338878680 is an abundant number, since it is smaller than the sum of its proper divisors (957121320).

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

338878680 is a wasteful number, since it uses less digits than its factorization.

338878680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 338878680 is about 18408.6577457456. The cubic root of 338878680 is about 697.1850764190.

The spelling of 338878680 in words is "three hundred thirty-eight million, eight hundred seventy-eight thousand, six hundred eighty".