3873065936688 has 400 divisors, whose sum is σ = 12284207635392. Its totient is φ = 1170816768000.

The previous prime is 3873065936659. The next prime is 3873065936741. The reversal of 3873065936688 is 8866395603783.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1213745173 + ... + 1213748363.

Almost surely, 2^{3873065936688} 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 3873065936688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142103817696).

3873065936688 is an abundant number, since it is smaller than the sum of its proper divisors (8411141698704).

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

3873065936688 is a wasteful number, since it uses less digits than its factorization.

3873065936688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 3873065936688 in words is "three trillion, eight hundred seventy-three billion, sixty-five million, nine hundred thirty-six thousand, six hundred eighty-eight".