3612560256 has 128 divisors (see below), whose sum is σ = 10692986400. Its totient is φ = 1200697344.

The previous prime is 3612560249. The next prime is 3612560311. The reversal of 3612560256 is 6520652163.

It is a happy number.

3612560256 is a `hidden beast` number, since 36 + 12 + 5 + 602 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3612560256.

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, 1370716 + ... + 1373348.

Almost surely, 2^3612560256 is an apocalyptic number.

3612560256 is a gapful number since it is divisible by the number (36) 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 3612560256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346493200).

3612560256 is an abundant number, since it is smaller than the sum of its proper divisors (7080426144).

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

3612560256 is a wasteful number, since it uses less digits than its factorization.

3612560256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3612560256 is about 60104.5776626040. The cubic root of 3612560256 is about 1534.3992111754.

The spelling of 3612560256 in words is "three billion, six hundred twelve million, five hundred sixty thousand, two hundred fifty-six".