3564442656 has 144 divisors (see below), whose sum is σ = 10477905984. Its totient is φ = 1148539392.

The previous prime is 3564442591. The next prime is 3564442663. The reversal of 3564442656 is 6562444653.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1778551 + ... + 1780553.

It is an arithmetic number, because the mean of its divisors is an integer number (72763236).

Almost surely, 2^3564442656 is an apocalyptic number.

3564442656 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 3564442656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238952992).

3564442656 is an abundant number, since it is smaller than the sum of its proper divisors (6913463328).

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

3564442656 is a wasteful number, since it uses less digits than its factorization.

3564442656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2212 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The square root of 3564442656 is about 59702.9534947811. The cubic root of 3564442656 is about 1527.5562475191.

The spelling of 3564442656 in words is "three billion, five hundred sixty-four million, four hundred forty-two thousand, six hundred fifty-six".