3560256000 has 480 divisors, whose sum is σ = 14671882368. Its totient is φ = 812851200.

The previous prime is 3560255953. The next prime is 3560256001. The reversal of 3560256000 is 6520653.

3560256000 is a `hidden beast` number, since 3 + 5 + 602 + 56 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (3560256001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4031559 + ... + 4032441.

Almost surely, 2^3560256000 is an apocalyptic number.

3560256000 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 3560256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335941184).

3560256000 is an abundant number, since it is smaller than the sum of its proper divisors (11111626368).

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

3560256000 is an equidigital number, since it uses as much as digits as its factorization.

3560256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3560256000 is about 59667.8808070138. The cubic root of 3560256000 is about 1526.9579437830.

Adding to 3560256000 its reverse (6520653), we get a palindrome (3566776653).

It can be divided in two parts, 3560 and 256000, that added together give a triangular number (259560 = T₇₂₀).

The spelling of 3560256000 in words is "three billion, five hundred sixty million, two hundred fifty-six thousand".