368940800 has 108 divisors (see below), whose sum is σ = 967188096. Its totient is φ = 138854400.

The previous prime is 368940799. The next prime is 368940809. The reversal of 368940800 is 8049863.

It is a super-2 number, since 2×368940800² = 272234627809280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368940809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107105 + ... + 110495.

Almost surely, 2^368940800 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 368940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483594048).

368940800 is an abundant number, since it is smaller than the sum of its proper divisors (598247296).

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

368940800 is a wasteful number, since it uses less digits than its factorization.

368940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 368940800 is about 19207.8317360393. The cubic root of 368940800 is about 717.2197305239.

The spelling of 368940800 in words is "three hundred sixty-eight million, nine hundred forty thousand, eight hundred".