3972845774920 has 256 divisors, whose sum is σ = 10206391910400. Its totient is φ = 1378719360000.

The previous prime is 3972845774899. The next prime is 3972845774929. The reversal of 3972845774920 is 294775482793.

It is not an unprimeable number, because it can be changed into a prime (3972845774929) 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, 286283022 + ... + 286296898.

It is an arithmetic number, because the mean of its divisors is an integer number (39868718400).

Almost surely, 2^{3972845774920} 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 3972845774920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103195955200).

3972845774920 is an abundant number, since it is smaller than the sum of its proper divisors (6233546135480).

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

3972845774920 is a wasteful number, since it uses less digits than its factorization.

3972845774920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14220 (or 14216 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 67.

The spelling of 3972845774920 in words is "three trillion, nine hundred seventy-two billion, eight hundred forty-five million, seven hundred seventy-four thousand, nine hundred twenty".