368080800 has 144 divisors (see below), whose sum is σ = 1210547520. Its totient is φ = 97136640.

The previous prime is 368080733. The next prime is 368080807. The reversal of 368080800 is 8080863.

It is not an unprimeable number, because it can be changed into a prime (368080807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246456 + ... + 247944.

It is an arithmetic number, because the mean of its divisors is an integer number (8406580).

Almost surely, 2^368080800 is an apocalyptic number.

368080800 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 368080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605273760).

368080800 is an abundant number, since it is smaller than the sum of its proper divisors (842466720).

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

368080800 is a wasteful number, since it uses less digits than its factorization.

368080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 368080800 is about 19185.4319732447. The cubic root of 368080800 is about 716.6620178774.

The spelling of 368080800 in words is "three hundred sixty-eight million, eighty thousand, eight hundred".