3868576996608 has 288 divisors, whose sum is σ = 11690319513600. Its totient is φ = 1261349074944.

The previous prime is 3868576996547. The next prime is 3868576996667. The reversal of 3868576996608 is 8066996758683.

3868576996608 is a `hidden beast` number, since 38 + 6 + 8 + 576 + 9 + 9 + 6 + 6 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 962570023 + ... + 962574041.

It is an arithmetic number, because the mean of its divisors is an integer number (40591387200).

Almost surely, 2^{3868576996608} 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 3868576996608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845159756800).

3868576996608 is an abundant number, since it is smaller than the sum of its proper divisors (7821742516992).

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

3868576996608 is a wasteful number, since it uses less digits than its factorization.

3868576996608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7054 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 3868576996608 in words is "three trillion, eight hundred sixty-eight billion, five hundred seventy-six million, nine hundred ninety-six thousand, six hundred eight".