368930800 has 120 divisors (see below), whose sum is σ = 1034036000. Its totient is φ = 126443520.

The previous prime is 368930791. The next prime is 368930851. The reversal of 368930800 is 8039863.

It is a happy number.

It is a super-2 number, since 2×368930800² = 272219870377280000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 368930800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135856 + ... + 138544.

Almost surely, 2^368930800 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 368930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517018000).

368930800 is an abundant number, since it is smaller than the sum of its proper divisors (665105200).

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

368930800 is a wasteful number, since it uses less digits than its factorization.

368930800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 368930800 is about 19207.5714237902. The cubic root of 368930800 is about 717.2132504760.

The spelling of 368930800 in words is "three hundred sixty-eight million, nine hundred thirty thousand, eight hundred".