3966984 has 96 divisors (see below), whose sum is σ = 13029120. Its totient is φ = 1064448.

The previous prime is 3966961. The next prime is 3967027. The reversal of 3966984 is 4896693.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8337 + ... + 8799.

It is an arithmetic number, because the mean of its divisors is an integer number (135720).

Almost surely, 2^3966984 is an apocalyptic number.

3966984 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 3966984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514560).

3966984 is an abundant number, since it is smaller than the sum of its proper divisors (9062136).

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

3966984 is a wasteful number, since it uses less digits than its factorization.

3966984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 492 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3966984 is about 1991.7288972147. The cubic root of 3966984 is about 158.3021510770.

It can be divided in two parts, 3966 and 984, that added together give a triangular number (4950 = T₉₉).

The spelling of 3966984 in words is "three million, nine hundred sixty-six thousand, nine hundred eighty-four".