3981584447073 has 24 divisors (see below), whose sum is σ = 5757342776640. Its totient is φ = 2651544672480.

The previous prime is 3981584447053. The next prime is 3981584447083. The reversal of 3981584447073 is 3707444851893.

3981584447073 is a `hidden beast` number, since 3 + 9 + 8 + 1 + 58 + 44 + 470 + 73 = 666.

It is not a de Polignac number, because 3981584447073 - 2²⁰ = 3981583398497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3981584447073.

It is not an unprimeable number, because it can be changed into a prime (3981584447023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137713743 + ... + 137742651.

It is an arithmetic number, because the mean of its divisors is an integer number (239889282360).

Almost surely, 2^{3981584447073} is an apocalyptic number.

It is an amenable number.

3981584447073 is a deficient number, since it is larger than the sum of its proper divisors (1775758329567).

3981584447073 is a wasteful number, since it uses less digits than its factorization.

3981584447073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44789 (or 44786 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 3981584447073 in words is "three trillion, nine hundred eighty-one billion, five hundred eighty-four million, four hundred forty-seven thousand, seventy-three".