3288869584 has 320 divisors, whose sum is σ = 9064419840. Its totient is φ = 1114767360.

The previous prime is 3288869569. The next prime is 3288869629. The reversal of 3288869584 is 4859688823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33905824 + ... + 33905920.

It is an arithmetic number, because the mean of its divisors is an integer number (28326312).

Almost surely, 2^3288869584 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 3288869584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532209920).

3288869584 is an abundant number, since it is smaller than the sum of its proper divisors (5775550256).

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

3288869584 is a wasteful number, since it uses less digits than its factorization.

3288869584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 61.

The square root of 3288869584 is about 57348.6668022893. Note that the first 3 decimals coincide. The cubic root of 3288869584 is about 1487.1298266223.

The spelling of 3288869584 in words is "three billion, two hundred eighty-eight million, eight hundred sixty-nine thousand, five hundred eighty-four".