3981691584 has 336 divisors, whose sum is σ = 13446800640. Its totient is φ = 1114767360.

The previous prime is 3981691583. The next prime is 3981691607. The reversal of 3981691584 is 4851961893.

3981691584 is a `hidden beast` number, since 398 + 169 + 15 + 84 = 666.

3981691584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3981691584.

It is not an unprimeable number, because it can be changed into a prime (3981691583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3945672 + ... + 3946680.

It is an arithmetic number, because the mean of its divisors is an integer number (40020240).

Almost surely, 2^3981691584 is an apocalyptic number.

3981691584 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3981691584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723400320).

3981691584 is an abundant number, since it is smaller than the sum of its proper divisors (9465109056).

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

3981691584 is a wasteful number, since it uses less digits than its factorization.

3981691584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1075 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 3981691584 is about 63100.6464626156. The cubic root of 3981691584 is about 1584.9754475460.

The spelling of 3981691584 in words is "three billion, nine hundred eighty-one million, six hundred ninety-one thousand, five hundred eighty-four".