3982966128 has 80 divisors (see below), whose sum is σ = 11440830240. Its totient is φ = 1326698496.

The previous prime is 3982966123. The next prime is 3982966157. The reversal of 3982966128 is 8216692893.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3982966123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850000 + ... + 854672.

It is an arithmetic number, because the mean of its divisors is an integer number (143010378).

Almost surely, 2^3982966128 is an apocalyptic number.

It is an amenable number.

3982966128 is an abundant number, since it is smaller than the sum of its proper divisors (7457864112).

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

3982966128 is a wasteful number, since it uses less digits than its factorization.

3982966128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6663 (or 6651 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 3982966128 is about 63110.7449488595. The cubic root of 3982966128 is about 1585.1445469848.

The spelling of 3982966128 in words is "three billion, nine hundred eighty-two million, nine hundred sixty-six thousand, one hundred twenty-eight".