38781302376168 has 288 divisors, whose sum is σ = 118753305914880. Its totient is φ = 11416556448000.

The previous prime is 38781302376151. The next prime is 38781302376209. The reversal of 38781302376168 is 86167320318783.

38781302376168 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 1 + 3 + 0 + 2 + 3 + 7 + 616 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 208463593 + ... + 208649543.

It is an arithmetic number, because the mean of its divisors is an integer number (412337867760).

Almost surely, 2^{38781302376168} 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 38781302376168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59376652957440).

38781302376168 is an abundant number, since it is smaller than the sum of its proper divisors (79972003538712).

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

38781302376168 is a wasteful number, since it uses less digits than its factorization.

38781302376168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186669 (or 186651 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 38781302376168 in words is "thirty-eight trillion, seven hundred eighty-one billion, three hundred two million, three hundred seventy-six thousand, one hundred sixty-eight".