368229873600 has 504 divisors, whose sum is σ = 1389161253168. Its totient is φ = 92191948800.

The previous prime is 368229873587. The next prime is 368229873643. The reversal of 368229873600 is 6378922863.

It is a happy number.

368229873600 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 29 + 8 + 7 + 3 + 600 = 666.

It is a super-2 number, since 2×368229873600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114319990 + ... + 114323210.

Almost surely, 2^368229873600 is an apocalyptic number.

368229873600 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 368229873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694580626584).

368229873600 is an abundant number, since it is smaller than the sum of its proper divisors (1020931379568).

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

368229873600 is a wasteful number, since it uses less digits than its factorization.

368229873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 368229873600 in words is "three hundred sixty-eight billion, two hundred twenty-nine million, eight hundred seventy-three thousand, six hundred".