368830800 has 480 divisors, whose sum is σ = 1472405760. Its totient is φ = 87091200.

The previous prime is 368830799. The next prime is 368830843. The reversal of 368830800 is 8038863.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 5194765 + ... + 5194835.

It is an arithmetic number, because the mean of its divisors is an integer number (3067512).

Almost surely, 2^368830800 is an apocalyptic number.

368830800 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 368830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736202880).

368830800 is an abundant number, since it is smaller than the sum of its proper divisors (1103574960).

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

368830800 is a wasteful number, since it uses less digits than its factorization.

368830800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 368830800 is about 19204.9681072373. The cubic root of 368830800 is about 717.1484435564.

The spelling of 368830800 in words is "three hundred sixty-eight million, eight hundred thirty thousand, eight hundred".