368424000 has 672 divisors, whose sum is σ = 1631874816. Its totient is φ = 77414400.

The previous prime is 368423999. The next prime is 368424011. The reversal of 368424000 is 424863.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8567979 + ... + 8568021.

Almost surely, 2^368424000 is an apocalyptic number.

368424000 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 368424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815937408).

368424000 is an abundant number, since it is smaller than the sum of its proper divisors (1263450816).

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

368424000 is a wasteful number, since it uses less digits than its factorization.

368424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 368424000 is about 19194.3741757839. The cubic root of 368424000 is about 716.8846881896.

Adding to 368424000 its reverse (424863), we get a palindrome (368848863).

The spelling of 368424000 in words is "three hundred sixty-eight million, four hundred twenty-four thousand".