38729614896 has 360 divisors, whose sum is σ = 137017420800. Its totient is φ = 10143947520.

The previous prime is 38729614871. The next prime is 38729614943. The reversal of 38729614896 is 69841692783.

38729614896 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 9 + 614 + 8 + 9 + 6 = 666.

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.

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 71 ways as a sum of consecutive naturals, for example, 4151325 + ... + 4160643.

Almost surely, 2^38729614896 is an apocalyptic number.

38729614896 is a gapful number since it is divisible by the number (36) 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 38729614896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68508710400).

38729614896 is an abundant number, since it is smaller than the sum of its proper divisors (98287805904).

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

38729614896 is a wasteful number, since it uses less digits than its factorization.

38729614896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9397 (or 9381 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 38729614896 in words is "thirty-eight billion, seven hundred twenty-nine million, six hundred fourteen thousand, eight hundred ninety-six".