368666880 has 288 divisors, whose sum is σ = 1287229440. Its totient is φ = 89579520.

The previous prime is 368666843. The next prime is 368666891. The reversal of 368666880 is 88666863.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2261679 + ... + 2261841.

Almost surely, 2^368666880 is an apocalyptic number.

368666880 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 368666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643614720).

368666880 is an abundant number, since it is smaller than the sum of its proper divisors (918562560).

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

368666880 is a wasteful number, since it uses less digits than its factorization.

368666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 368666880 is about 19200.6999872400. The cubic root of 368666880 is about 717.0421867107.

The spelling of 368666880 in words is "three hundred sixty-eight million, six hundred sixty-six thousand, eight hundred eighty".