3256565760 has 360 divisors, whose sum is σ = 12922256256. Its totient is φ = 743178240.

The previous prime is 3256565737. The next prime is 3256565773. The reversal of 3256565760 is 675656523.

3256565760 is a `hidden beast` number, since 3 + 25 + 6 + 56 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160645 + ... + 5161275.

Almost surely, 2^3256565760 is an apocalyptic number.

3256565760 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 3256565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461128128).

3256565760 is an abundant number, since it is smaller than the sum of its proper divisors (9665690496).

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

3256565760 is an equidigital number, since it uses as much as digits as its factorization.

3256565760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The square root of 3256565760 is about 57066.3277248501. The cubic root of 3256565760 is about 1482.2448523739.

The spelling of 3256565760 in words is "three billion, two hundred fifty-six million, five hundred sixty-five thousand, seven hundred sixty".