38799129600 has 1320 divisors, whose sum is σ = 179856428928. Its totient is φ = 8062156800.

The previous prime is 38799129587. The next prime is 38799129661. The reversal of 38799129600 is 692199783.

38799129600 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 9 + 1 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3527193595 + ... + 3527193605.

Almost surely, 2^38799129600 is an apocalyptic number.

38799129600 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 38799129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89928214464).

38799129600 is an abundant number, since it is smaller than the sum of its proper divisors (141057299328).

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

38799129600 is an frugal number, since it uses more digits than its factorization.

38799129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 38799129600 in words is "thirty-eight billion, seven hundred ninety-nine million, one hundred twenty-nine thousand, six hundred".