368279800 has 96 divisors (see below), whose sum is σ = 983642400. Its totient is φ = 125614080.

The previous prime is 368279797. The next prime is 368279801. The reversal of 368279800 is 8972863.

It is a super-2 number, since 2×368279800² = 271260022176080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368279801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325636 + ... + 326764.

It is an arithmetic number, because the mean of its divisors is an integer number (10246275).

Almost surely, 2^368279800 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 368279800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491821200).

368279800 is an abundant number, since it is smaller than the sum of its proper divisors (615362600).

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

368279800 is a wasteful number, since it uses less digits than its factorization.

368279800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 368279800 is about 19190.6174991843. The cubic root of 368279800 is about 716.7911471772.

The spelling of 368279800 in words is "three hundred sixty-eight million, two hundred seventy-nine thousand, eight hundred".