3972957859984 has 45 divisors (see below), whose sum is σ = 7972657443673. Its totient is φ = 1917868035776.

The previous prime is 3972957859973. The next prime is 3972957859987. The reversal of 3972957859984 is 4899587592793.

The square root of 3972957859984 is 1993228.

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

3972957859984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2083322730384 + 1889635129600 = 1443372^2 + 1374640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3972957859987) 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, 231205857 + ... + 231223039.

Almost surely, 2^{3972957859984} is an apocalyptic number.

3972957859984 is the 1993228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3972957859984

3972957859984 is an abundant number, since it is smaller than the sum of its proper divisors (3999699583689).

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

3972957859984 is an frugal number, since it uses more digits than its factorization.

3972957859984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34432 (or 17214 counting only the distinct ones).

The product of its digits is 12345177600, while the sum is 85.

The spelling of 3972957859984 in words is "three trillion, nine hundred seventy-two billion, nine hundred fifty-seven million, eight hundred fifty-nine thousand, nine hundred eighty-four".