3972772944640 has 144 divisors (see below), whose sum is σ = 9777772309536. Its totient is φ = 1545707520000.

The previous prime is 3972772944629. The next prime is 3972772944653. The reversal of 3972772944640 is 464492772793.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13114890 + ... + 13414390.

It is an arithmetic number, because the mean of its divisors is an integer number (67901196594).

Almost surely, 2^{3972772944640} 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 3972772944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888886154768).

3972772944640 is an abundant number, since it is smaller than the sum of its proper divisors (5804999364896).

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

3972772944640 is a wasteful number, since it uses less digits than its factorization.

3972772944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299806 (or 299792 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 64.

The spelling of 3972772944640 in words is "three trillion, nine hundred seventy-two billion, seven hundred seventy-two million, nine hundred forty-four thousand, six hundred forty".