38841928704 has 264 divisors, whose sum is σ = 117250194880. Its totient is φ = 12842717184.

The previous prime is 38841928691. The next prime is 38841928711. The reversal of 38841928704 is 40782914883.

It is a happy number.

38841928704 is a `hidden beast` number, since 388 + 4 + 192 + 8 + 70 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34587087 + ... + 34588209.

Almost surely, 2^38841928704 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 38841928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58625097440).

38841928704 is an abundant number, since it is smaller than the sum of its proper divisors (78408266176).

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

38841928704 is a wasteful number, since it uses less digits than its factorization.

38841928704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 38841928704 in words is "thirty-eight billion, eight hundred forty-one million, nine hundred twenty-eight thousand, seven hundred four".