3922632540160 has 512 divisors, whose sum is σ = 10214935207200. Its totient is φ = 1442756689920.

The previous prime is 3922632540157. The next prime is 3922632540181. The reversal of 3922632540160 is 610452362293.

It can be written as a sum of positive squares in 16 ways, for example, as 382695653376 + 3539936886784 = 618624^2 + 1881472^2 .

It is a tau number, because it is divible by the number of its divisors (512).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 9317416750 + ... + 9317417170.

Almost surely, 2^{3922632540160} 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 3922632540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107467603600).

3922632540160 is an abundant number, since it is smaller than the sum of its proper divisors (6292302667040).

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

3922632540160 is an equidigital number, since it uses as much as digits as its factorization.

3922632540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 3922632540160 in words is "three trillion, nine hundred twenty-two billion, six hundred thirty-two million, five hundred forty thousand, one hundred sixty".