3288610560 has 144 divisors (see below), whose sum is σ = 11121044256. Its totient is φ = 825360384.

The previous prime is 3288610553. The next prime is 3288610571. The reversal of 3288610560 is 650168823.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40092 + ... + 90468.

It is an arithmetic number, because the mean of its divisors is an integer number (77229474).

Almost surely, 2^3288610560 is an apocalyptic number.

3288610560 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 3288610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560522128).

3288610560 is an abundant number, since it is smaller than the sum of its proper divisors (7832433696).

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

3288610560 is a wasteful number, since it uses less digits than its factorization.

3288610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50418 (or 50404 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 3288610560 is about 57346.4084315661. The cubic root of 3288610560 is about 1487.0907845929.

The spelling of 3288610560 in words is "three billion, two hundred eighty-eight million, six hundred ten thousand, five hundred sixty".