3983968096144 has 45 divisors (see below), whose sum is σ = 8146890395163. Its totient is φ = 1887070926816.

The previous prime is 3983968096099. The next prime is 3983968096169. The reversal of 3983968096144 is 4416908693893.

The square root of 3983968096144 is 1995988.

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

3983968096144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 151681957 + ... + 151708219.

Almost surely, 2^{3983968096144} is an apocalyptic number.

3983968096144 is the 1995988-th square number.

It is an amenable number.

3983968096144 is an abundant number, since it is smaller than the sum of its proper divisors (4162922299019).

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

3983968096144 is an frugal number, since it uses more digits than its factorization.

3983968096144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52572 (or 26284 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 70.

The spelling of 3983968096144 in words is "three trillion, nine hundred eighty-three billion, nine hundred sixty-eight million, ninety-six thousand, one hundred forty-four".