368413800 has 192 divisors, whose sum is σ = 1273579200. Its totient is φ = 87552000.

The previous prime is 368413769. The next prime is 368413813. The reversal of 368413800 is 8314863.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192850 + ... + 194750.

It is an arithmetic number, because the mean of its divisors is an integer number (6633225).

Almost surely, 2^368413800 is an apocalyptic number.

368413800 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 368413800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636789600).

368413800 is an abundant number, since it is smaller than the sum of its proper divisors (905165400).

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

368413800 is a wasteful number, since it uses less digits than its factorization.

368413800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 368413800 is about 19194.1084710908. The cubic root of 368413800 is about 716.8780723599.

The spelling of 368413800 in words is "three hundred sixty-eight million, four hundred thirteen thousand, eight hundred".