3981558966 has 192 divisors, whose sum is σ = 10459545600. Its totient is φ = 987940800.

The previous prime is 3981558907. The next prime is 3981558989. The reversal of 3981558966 is 6698551893.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20007735 + ... + 20007933.

It is an arithmetic number, because the mean of its divisors is an integer number (54476800).

Almost surely, 2^3981558966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3981558966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229772800).

3981558966 is an abundant number, since it is smaller than the sum of its proper divisors (6477986634).

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

3981558966 is a wasteful number, since it uses less digits than its factorization.

3981558966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 380 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 60.

The square root of 3981558966 is about 63099.5956088468. The cubic root of 3981558966 is about 1584.9578504516.

The spelling of 3981558966 in words is "three billion, nine hundred eighty-one million, five hundred fifty-eight thousand, nine hundred sixty-six".