368198400 has 216 divisors, whose sum is σ = 1232809984. Its totient is φ = 96768000.

The previous prime is 368198399. The next prime is 368198401. The reversal of 368198400 is 4891863.

It is an interprime number because it is at equal distance from previous prime (368198399) and next prime (368198401).

It is not an unprimeable number, because it can be changed into a prime (368198401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2438325 + ... + 2438475.

Almost surely, 2^368198400 is an apocalyptic number.

368198400 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 368198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616404992).

368198400 is an abundant number, since it is smaller than the sum of its proper divisors (864611584).

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

368198400 is a wasteful number, since it uses less digits than its factorization.

368198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 368198400 is about 19188.4965539252. The cubic root of 368198400 is about 716.7383330771.

The spelling of 368198400 in words is "three hundred sixty-eight million, one hundred ninety-eight thousand, four hundred".