3281110560 has 720 divisors, whose sum is σ = 14259622104. Its totient is φ = 682795008.

The previous prime is 3281110493. The next prime is 3281110603. The reversal of 3281110560 is 650111823.

It can be written as a sum of positive squares in 4 ways, for example, as 2157788304 + 1123322256 = 46452^2 + 33516^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44946684 + ... + 44946756.

Almost surely, 2^3281110560 is an apocalyptic number.

3281110560 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 3281110560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129811052).

3281110560 is an abundant number, since it is smaller than the sum of its proper divisors (10978511544).

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

3281110560 is a wasteful number, since it uses less digits than its factorization.

3281110560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 3281110560 is about 57280.9790419123. The cubic root of 3281110560 is about 1485.9594384837.

The spelling of 3281110560 in words is "three billion, two hundred eighty-one million, one hundred ten thousand, five hundred sixty".