3681984 has 56 divisors (see below), whose sum is σ = 9883648. Its totient is φ = 1209600.

The previous prime is 3681967. The next prime is 3682031. The reversal of 3681984 is 4891863.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24309 + ... + 24459.

Almost surely, 2^3681984 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 3681984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941824).

3681984 is an abundant number, since it is smaller than the sum of its proper divisors (6201664).

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

3681984 is a wasteful number, since it uses less digits than its factorization.

3681984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 3681984 is about 1918.8496553925. The cubic root of 3681984 is about 154.4165928457.

The spelling of 3681984 in words is "three million, six hundred eighty-one thousand, nine hundred eighty-four".