38185640136 has 384 divisors, whose sum is σ = 126977760000. Its totient is φ = 10523354112.

The previous prime is 38185640029. The next prime is 38185640137. The reversal of 38185640136 is 63104658183.

38185640136 is a `hidden beast` number, since 3 + 81 + 8 + 564 + 0 + 1 + 3 + 6 = 666.

It is a super-2 number, since 2×38185640136² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38185640091 and 38185640100.

It is not an unprimeable number, because it can be changed into a prime (38185640137) 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, 75020650 + ... + 75021158.

It is an arithmetic number, because the mean of its divisors is an integer number (330671250).

Almost surely, 2^38185640136 is an apocalyptic number.

38185640136 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 38185640136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63488880000).

38185640136 is an abundant number, since it is smaller than the sum of its proper divisors (88792119864).

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

38185640136 is a wasteful number, since it uses less digits than its factorization.

38185640136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38185640136 in words is "thirty-eight billion, one hundred eighty-five million, six hundred forty thousand, one hundred thirty-six".