3289846560 has 768 divisors, whose sum is σ = 14338695168. Its totient is φ = 611942400.

The previous prime is 3289846531. The next prime is 3289846577. The reversal of 3289846560 is 656489823.

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 127 ways as a sum of consecutive naturals, for example, 19699597 + ... + 19699763.

It is an arithmetic number, because the mean of its divisors is an integer number (18670176).

Almost surely, 2^3289846560 is an apocalyptic number.

3289846560 is a gapful number since it is divisible by the number (30) 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 3289846560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169347584).

3289846560 is an abundant number, since it is smaller than the sum of its proper divisors (11048848608).

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

3289846560 is a wasteful number, since it uses less digits than its factorization.

3289846560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 3289846560 is about 57357.1840312964. The cubic root of 3289846560 is about 1487.2770652883.

The spelling of 3289846560 in words is "three billion, two hundred eighty-nine million, eight hundred forty-six thousand, five hundred sixty".