3304284984 has 576 divisors, whose sum is σ = 12781117440. Its totient is φ = 744629760.

The previous prime is 3304284983. The next prime is 3304285007. The reversal of 3304284984 is 4894824033.

3304284984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3304284983) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26017929 + ... + 26018055.

It is an arithmetic number, because the mean of its divisors is an integer number (22189440).

Almost surely, 2^3304284984 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 3304284984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390558720).

3304284984 is an abundant number, since it is smaller than the sum of its proper divisors (9476832456).

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

3304284984 is a wasteful number, since it uses less digits than its factorization.

3304284984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3304284984 is about 57482.9103647336. The cubic root of 3304284984 is about 1489.4496689884.

The spelling of 3304284984 in words is "three billion, three hundred four million, two hundred eighty-four thousand, nine hundred eighty-four".