38086644960 has 1536 divisors, whose sum is σ = 179233689600. Its totient is φ = 7325614080.

The previous prime is 38086644923. The next prime is 38086644961. The reversal of 38086644960 is 6944668083.

38086644960 is a `hidden beast` number, since 3 + 80 + 8 + 66 + 449 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38086644897 and 38086644906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38086644961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 274004571 + ... + 274004709.

It is an arithmetic number, because the mean of its divisors is an integer number (116688600).

Almost surely, 2^38086644960 is an apocalyptic number.

38086644960 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 38086644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89616844800).

38086644960 is an abundant number, since it is smaller than the sum of its proper divisors (141147044640).

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

38086644960 is a wasteful number, since it uses less digits than its factorization.

38086644960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 38086644960 in words is "thirty-eight billion, eighty-six million, six hundred forty-four thousand, nine hundred sixty".