3609984 has 128 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 958464.

The previous prime is 3609973. The next prime is 3609997. The reversal of 3609984 is 4899063.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45657 + ... + 45735.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

Almost surely, 2^3609984 is an apocalyptic number.

3609984 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 3609984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

3609984 is an abundant number, since it is smaller than the sum of its proper divisors (8140416).

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

3609984 is a wasteful number, since it uses less digits than its factorization.

3609984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3609984 is about 1899.9957894690. The cubic root of 3609984 is about 153.4034378024.

The spelling of 3609984 in words is "three million, six hundred nine thousand, nine hundred eighty-four".