38679878773008 has 960 divisors, whose sum is σ = 131361532323840. Its totient is φ = 10902350131200.

The previous prime is 38679878772989. The next prime is 38679878773013. The reversal of 38679878773008 is 80037787897683.

38679878773008 is a `hidden beast` number, since 38 + 67 + 98 + 78 + 77 + 300 + 8 = 666.

It is a super-2 number, since 2×38679878773008² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5340308235 + ... + 5340315477.

It is an arithmetic number, because the mean of its divisors is an integer number (136834929504).

Almost surely, 2^{38679878773008} 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 38679878773008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65680766161920).

38679878773008 is an abundant number, since it is smaller than the sum of its proper divisors (92681653550832).

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

38679878773008 is a wasteful number, since it uses less digits than its factorization.

38679878773008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7450 (or 7432 counting only the distinct ones).

The product of its (nonzero) digits is 4779565056, while the sum is 81.

The spelling of 38679878773008 in words is "thirty-eight trillion, six hundred seventy-nine billion, eight hundred seventy-eight million, seven hundred seventy-three thousand, eight".