3981547584 has 168 divisors, whose sum is σ = 13729451840. Its totient is φ = 1077691392.

The previous prime is 3981547523. The next prime is 3981547643. The reversal of 3981547584 is 4857451893.

3981547584 is a `hidden beast` number, since 3 + 9 + 8 + 1 + 54 + 7 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 3981547584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50622 + ... + 102594.

Almost surely, 2^3981547584 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 3981547584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864725920).

3981547584 is an abundant number, since it is smaller than the sum of its proper divisors (9747904256).

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

3981547584 is a wasteful number, since it uses less digits than its factorization.

3981547584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52017 (or 52004 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 3981547584 is about 63099.5054180300. The cubic root of 3981547584 is about 1584.9563401548.

The spelling of 3981547584 in words is "three billion, nine hundred eighty-one million, five hundred forty-seven thousand, five hundred eighty-four".