3564855168 has 256 divisors, whose sum is σ = 11280384000. Its totient is φ = 976066560.

The previous prime is 3564855163. The next prime is 3564855179. The reversal of 3564855168 is 8615584653.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3564855168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3564855163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14915593 + ... + 14915831.

It is an arithmetic number, because the mean of its divisors is an integer number (44064000).

Almost surely, 2^3564855168 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 3564855168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640192000).

3564855168 is an abundant number, since it is smaller than the sum of its proper divisors (7715528832).

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

3564855168 is a wasteful number, since it uses less digits than its factorization.

3564855168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 51.

The square root of 3564855168 is about 59706.4080982938. The cubic root of 3564855168 is about 1527.6151731387.

The spelling of 3564855168 in words is "three billion, five hundred sixty-four million, eight hundred fifty-five thousand, one hundred sixty-eight".