38729021184000 has 4608 divisors, whose sum is σ = 180964520755200. Its totient is φ = 8062156800000.

The previous prime is 38729021183891. The next prime is 38729021184001. The reversal of 38729021184000 is 48112092783.

It is a happy number.

38729021184000 is a `hidden beast` number, since 3 + 8 + 7 + 29 + 0 + 211 + 8 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38729021184001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 256483583925 + ... + 256483584075.

It is an arithmetic number, because the mean of its divisors is an integer number (39271814400).

Almost surely, 2^{38729021184000} is an apocalyptic number.

38729021184000 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 38729021184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90482260377600).

38729021184000 is an abundant number, since it is smaller than the sum of its proper divisors (142235499571200).

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

38729021184000 is a wasteful number, since it uses less digits than its factorization.

38729021184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 38729021184000 in words is "thirty-eight trillion, seven hundred twenty-nine billion, twenty-one million, one hundred eighty-four thousand".