3204482688 has 384 divisors, whose sum is σ = 10635744000. Its totient is φ = 948879360.

The previous prime is 3204482657. The next prime is 3204482719. The reversal of 3204482688 is 8862844023.

It is an interprime number because it is at equal distance from previous prime (3204482657) and next prime (3204482719).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33035856 + ... + 33035952.

It is an arithmetic number, because the mean of its divisors is an integer number (27697250).

Almost surely, 2^3204482688 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 3204482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317872000).

3204482688 is an abundant number, since it is smaller than the sum of its proper divisors (7431261312).

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

3204482688 is a wasteful number, since it uses less digits than its factorization.

3204482688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3204482688 is about 56608.1503672395. The cubic root of 3204482688 is about 1474.3003768920.

The spelling of 3204482688 in words is "three billion, two hundred four million, four hundred eighty-two thousand, six hundred eighty-eight".