368822225400 has 96 divisors (see below), whose sum is σ = 1144962841200. Its totient is φ = 98213760000.

The previous prime is 368822225399. The next prime is 368822225441. The reversal of 368822225400 is 4522228863.

It is a happy number.

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, 8101 + ... + 858900.

Almost surely, 2^368822225400 is an apocalyptic number.

368822225400 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 368822225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572481420600).

368822225400 is an abundant number, since it is smaller than the sum of its proper divisors (776140615800).

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

368822225400 is a wasteful number, since it uses less digits than its factorization.

368822225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867729 (or 867720 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 368822225400 in words is "three hundred sixty-eight billion, eight hundred twenty-two million, two hundred twenty-five thousand, four hundred".