3922091208672 has 864 divisors, whose sum is σ = 13789067685120. Its totient is φ = 970056622080.

The previous prime is 3922091208661. The next prime is 3922091208689. The reversal of 3922091208672 is 2768021902293.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1555766772 + ... + 1555769292.

It is an arithmetic number, because the mean of its divisors is an integer number (15959569080).

Almost surely, 2^{3922091208672} is an apocalyptic number.

3922091208672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3922091208672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894533842560).

3922091208672 is an abundant number, since it is smaller than the sum of its proper divisors (9866976476448).

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

3922091208672 is a wasteful number, since it uses less digits than its factorization.

3922091208672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 3922091208672 in words is "three trillion, nine hundred twenty-two billion, ninety-one million, two hundred eight thousand, six hundred seventy-two".