38600865386496 has 1248 divisors, whose sum is σ = 135410229706752. Its totient is φ = 10362134200320.

The previous prime is 38600865386491. The next prime is 38600865386509. The reversal of 38600865386496 is 69468356800683.

38600865386496 is a `hidden beast` number, since 3 + 8 + 6 + 0 + 0 + 8 + 6 + 53 + 86 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (38600865386491) 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, 100785549121 + ... + 100785549503.

It is an arithmetic number, because the mean of its divisors is an integer number (108501786624).

Almost surely, 2^{38600865386496} is an apocalyptic number.

38600865386496 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 38600865386496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67705114853376).

38600865386496 is an abundant number, since it is smaller than the sum of its proper divisors (96809364320256).

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

38600865386496 is a wasteful number, since it uses less digits than its factorization.

38600865386496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 38600865386496 in words is "thirty-eight trillion, six hundred billion, eight hundred sixty-five million, three hundred eighty-six thousand, four hundred ninety-six".