38929714992 has 640 divisors, whose sum is σ = 142276608000. Its totient is φ = 9935861760.

The previous prime is 38929714981. The next prime is 38929714997. The reversal of 38929714992 is 29941792983.

38929714992 is a `hidden beast` number, since 389 + 29 + 7 + 149 + 92 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (17635968) is a multiple of the sum of its prime factors (486).

It is not an unprimeable number, because it can be changed into a prime (38929714997) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 117612267 + ... + 117612597.

It is an arithmetic number, because the mean of its divisors is an integer number (222307200).

Almost surely, 2^38929714992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38929714992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71138304000).

38929714992 is an abundant number, since it is smaller than the sum of its proper divisors (103346893008).

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

38929714992 is a wasteful number, since it uses less digits than its factorization.

38929714992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 38929714992 in words is "thirty-eight billion, nine hundred twenty-nine million, seven hundred fourteen thousand, nine hundred ninety-two".