3256582560 has 768 divisors, whose sum is σ = 13920657408. Its totient is φ = 619315200.

The previous prime is 3256582531. The next prime is 3256582603. The reversal of 3256582560 is 652856523.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 44610684 + ... + 44610756.

It is an arithmetic number, because the mean of its divisors is an integer number (18125856).

Almost surely, 2^3256582560 is an apocalyptic number.

3256582560 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 3256582560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6960328704).

3256582560 is an abundant number, since it is smaller than the sum of its proper divisors (10664074848).

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

3256582560 is a wasteful number, since it uses less digits than its factorization.

3256582560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 3256582560 is about 57066.4749217962. The cubic root of 3256582560 is about 1482.2474012421.

The spelling of 3256582560 in words is "three billion, two hundred fifty-six million, five hundred eighty-two thousand, five hundred sixty".