368888800 has 144 divisors (see below), whose sum is σ = 1083680640. Its totient is φ = 119784960.

The previous prime is 368888761. The next prime is 368888833. The reversal of 368888800 is 8888863.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104667 + ... + 108133.

It is an arithmetic number, because the mean of its divisors is an integer number (7525560).

Almost surely, 2^368888800 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 368888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541840320).

368888800 is an abundant number, since it is smaller than the sum of its proper divisors (714791840).

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

368888800 is a wasteful number, since it uses less digits than its factorization.

368888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The square root of 368888800 is about 19206.4780738167. The cubic root of 368888800 is about 717.1860329963.

The spelling of 368888800 in words is "three hundred sixty-eight million, eight hundred eighty-eight thousand, eight hundred".