368958880 has 96 divisors (see below), whose sum is σ = 910103040. Its totient is φ = 141173760.

The previous prime is 368958859. The next prime is 368958911. The reversal of 368958880 is 88859863.

368958880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×368958880² = 272261310261708800, which contains 22 as substring.

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, 607537 + ... + 608143.

It is an arithmetic number, because the mean of its divisors is an integer number (9480240).

Almost surely, 2^368958880 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 368958880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455051520).

368958880 is an abundant number, since it is smaller than the sum of its proper divisors (541144160).

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

368958880 is a wasteful number, since it uses less digits than its factorization.

368958880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The square root of 368958880 is about 19208.3023716309. The cubic root of 368958880 is about 717.2314461532.

The spelling of 368958880 in words is "three hundred sixty-eight million, nine hundred fifty-eight thousand, eight hundred eighty".