3309984 has 60 divisors (see below), whose sum is σ = 9742194. Its totient is φ = 1102464.

The previous prime is 3309979. The next prime is 3309991. The reversal of 3309984 is 4899033.

It can be written as a sum of positive squares in only one way, i.e., 2624400 + 685584 = 1620^2 + 828^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 9 ways as a sum of consecutive naturals, for example, 1954 + ... + 3230.

Almost surely, 2^3309984 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 3309984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871097).

3309984 is an abundant number, since it is smaller than the sum of its proper divisors (6432210).

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

3309984 is a wasteful number, since it uses less digits than its factorization.

3309984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3309984 is about 1819.3361426630. The cubic root of 3309984 is about 149.0305479159.

The spelling of 3309984 in words is "three million, three hundred nine thousand, nine hundred eighty-four".