38799129600000 has 3360 divisors, whose sum is σ = 181372775899392. Its totient is φ = 8062156800000.

The previous prime is 38799129599999. The next prime is 38799129600001. The reversal of 38799129600000 is 692199783.

38799129600000 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 9 + 1 + 29 + 600 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38799129599999) and next prime (38799129600001).

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a self number, because there is not a number n which added to its sum of digits gives 38799129600000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38799129600001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3527193599995 + ... + 3527193600005.

Almost surely, 2^{38799129600000} is an apocalyptic number.

38799129600000 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 38799129600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90686387949696).

38799129600000 is an abundant number, since it is smaller than the sum of its proper divisors (142573646299392).

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

38799129600000 is an frugal number, since it uses more digits than its factorization.

38799129600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 28 counting only the distinct ones).

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

The spelling of 38799129600000 in words is "thirty-eight trillion, seven hundred ninety-nine billion, one hundred twenty-nine million, six hundred thousand".