3560285664 has 480 divisors, whose sum is σ = 12191921280. Its totient is φ = 1010009088.

The previous prime is 3560285657. The next prime is 3560285789. The reversal of 3560285664 is 4665820653.

3560285664 is a `hidden beast` number, since 3 + 5 + 60 + 28 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42894967 + ... + 42895049.

It is an arithmetic number, because the mean of its divisors is an integer number (25399836).

Almost surely, 2^3560285664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3560285664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095960640).

3560285664 is an abundant number, since it is smaller than the sum of its proper divisors (8631635616).

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

3560285664 is a wasteful number, since it uses less digits than its factorization.

3560285664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 3560285664 is about 59668.1293824434. The cubic root of 3560285664 is about 1526.9621846348.

The spelling of 3560285664 in words is "three billion, five hundred sixty million, two hundred eighty-five thousand, six hundred sixty-four".