3920146564096 has 99 divisors (see below), whose sum is σ = 9116919136719. Its totient is φ = 1679872739328.

The previous prime is 3920146564091. The next prime is 3920146564109. The reversal of 3920146564096 is 6904656410293.

The square root of 3920146564096 is 1979936.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3920146564091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 443501245 + ... + 443510083.

Almost surely, 2^{3920146564096} is an apocalyptic number.

3920146564096 is the 1979936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3920146564096

3920146564096 is an abundant number, since it is smaller than the sum of its proper divisors (5196772572623).

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

3920146564096 is an frugal number, since it uses more digits than its factorization.

3920146564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17712 (or 8848 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 55.

The spelling of 3920146564096 in words is "three trillion, nine hundred twenty billion, one hundred forty-six million, five hundred sixty-four thousand, ninety-six".