3871768657568 has 384 divisors, whose sum is σ = 9693933355008. Its totient is φ = 1484718833664.

The previous prime is 3871768657567. The next prime is 3871768657591. The reversal of 3871768657568 is 8657568671783.

It is not an unprimeable number, because it can be changed into a prime (3871768657567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 875369405 + ... + 875373827.

It is an arithmetic number, because the mean of its divisors is an integer number (25244618112).

Almost surely, 2^{3871768657568} 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 3871768657568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846966677504).

3871768657568 is an abundant number, since it is smaller than the sum of its proper divisors (5822164697440).

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

3871768657568 is a wasteful number, since it uses less digits than its factorization.

3871768657568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4636 counting only the distinct ones).

The product of its digits is 2844979200, while the sum is 77.

The spelling of 3871768657568 in words is "three trillion, eight hundred seventy-one billion, seven hundred sixty-eight million, six hundred fifty-seven thousand, five hundred sixty-eight".