363868800 has 192 divisors, whose sum is σ = 1240768800. Its totient is φ = 93614080.

The previous prime is 363868781. The next prime is 363868837. The reversal of 363868800 is 8868363.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×363868800² = 264801007226880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277747 + ... + 279053.

Almost surely, 2^363868800 is an apocalyptic number.

363868800 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 363868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620384400).

363868800 is an abundant number, since it is smaller than the sum of its proper divisors (876900000).

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

363868800 is a wasteful number, since it uses less digits than its factorization.

363868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 363868800 is about 19075.3453441871. The cubic root of 363868800 is about 713.9179028236.

The spelling of 363868800 in words is "three hundred sixty-three million, eight hundred sixty-eight thousand, eight hundred".