368382800 has 30 divisors (see below), whose sum is σ = 885040638. Its totient is φ = 147352960.

The previous prime is 368382797. The next prime is 368382803. The reversal of 368382800 is 8283863.

368382800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (368382797) and next prime (368382803).

It can be written as a sum of positive squares in 3 ways, for example, as 817216 + 367565584 = 904^2 + 19172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368382803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 460079 + ... + 460878.

Almost surely, 2^368382800 is an apocalyptic number.

It is an amenable number.

368382800 is an abundant number, since it is smaller than the sum of its proper divisors (516657838).

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

368382800 is a wasteful number, since it uses less digits than its factorization.

368382800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920975 (or 920964 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 368382800 is about 19193.3009146421. The cubic root of 368382800 is about 716.8579646770.

The spelling of 368382800 in words is "three hundred sixty-eight million, three hundred eighty-two thousand, eight hundred".