38604354796800 has 3024 divisors, whose sum is σ = 164249550203200. Its totient is φ = 8900621107200.

The previous prime is 38604354796789. The next prime is 38604354796801. The reversal of 38604354796800 is 869745340683.

38604354796800 is a `hidden beast` number, since 3 + 8 + 6 + 0 + 4 + 3 + 547 + 9 + 6 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38604354796801) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 160184044680 + ... + 160184044920.

Almost surely, 2^{38604354796800} is an apocalyptic number.

38604354796800 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 38604354796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82124775101600).

38604354796800 is an abundant number, since it is smaller than the sum of its proper divisors (125645195406400).

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

38604354796800 is a wasteful number, since it uses less digits than its factorization.

38604354796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 38604354796800 in words is "thirty-eight trillion, six hundred four billion, three hundred fifty-four million, seven hundred ninety-six thousand, eight hundred".