38729802384 has 480 divisors, whose sum is σ = 139859492864. Its totient is φ = 9730575360.

The previous prime is 38729802329. The next prime is 38729802389. The reversal of 38729802384 is 48320892783.

38729802384 is a `hidden beast` number, since 387 + 29 + 8 + 0 + 238 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38729802384.

It is not an unprimeable number, because it can be changed into a prime (38729802389) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27216297 + ... + 27217719.

Almost surely, 2^38729802384 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 38729802384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69929746432).

38729802384 is an abundant number, since it is smaller than the sum of its proper divisors (101129690480).

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

38729802384 is a wasteful number, since it uses less digits than its factorization.

38729802384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 38729802384 in words is "thirty-eight billion, seven hundred twenty-nine million, eight hundred two thousand, three hundred eighty-four".