38715217746768 has 160 divisors (see below), whose sum is σ = 116065333248000. Its totient is φ = 12332623019904.

The previous prime is 38715217746707. The next prime is 38715217746857. The reversal of 38715217746768 is 86764771251783.

38715217746768 is a `hidden beast` number, since 3 + 8 + 7 + 15 + 21 + 77 + 467 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38715217746696 and 38715217746705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9008133 + ... + 12592731.

It is an arithmetic number, because the mean of its divisors is an integer number (725408332800).

Almost surely, 2^{38715217746768} 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 38715217746768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58032666624000).

38715217746768 is an abundant number, since it is smaller than the sum of its proper divisors (77350115501232).

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

38715217746768 is a wasteful number, since it uses less digits than its factorization.

38715217746768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585726 (or 3585714 counting only the distinct ones).

The product of its digits is 663828480, while the sum is 72.

The spelling of 38715217746768 in words is "thirty-eight trillion, seven hundred fifteen billion, two hundred seventeen million, seven hundred forty-six thousand, seven hundred sixty-eight".