38561340636 has 288 divisors, whose sum is σ = 127024934400. Its totient is φ = 9578165760.

The previous prime is 38561340613. The next prime is 38561340637. The reversal of 38561340636 is 63604316583.

38561340636 is a `hidden beast` number, since 3 + 8 + 5 + 6 + 1 + 3 + 4 + 0 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38561340591 and 38561340600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38561340637) 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, 11139946 + ... + 11143406.

It is an arithmetic number, because the mean of its divisors is an integer number (441058800).

Almost surely, 2^38561340636 is an apocalyptic number.

38561340636 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 38561340636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63512467200).

38561340636 is an abundant number, since it is smaller than the sum of its proper divisors (88463593764).

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

38561340636 is a wasteful number, since it uses less digits than its factorization.

38561340636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 38561340636 in words is "thirty-eight billion, five hundred sixty-one million, three hundred forty thousand, six hundred thirty-six".