3564396864 has 168 divisors, whose sum is σ = 12053303808. Its totient is φ = 985512960.

The previous prime is 3564396853. The next prime is 3564396907. The reversal of 3564396864 is 4686934653.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 3564396864.

It is a congruent number.

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, 110734 + ... + 139250.

It is an arithmetic number, because the mean of its divisors is an integer number (71745856).

Almost surely, 2^3564396864 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 3564396864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026651904).

3564396864 is an abundant number, since it is smaller than the sum of its proper divisors (8488906944).

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

3564396864 is a wasteful number, since it uses less digits than its factorization.

3564396864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28573 (or 28560 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The square root of 3564396864 is about 59702.5699949341. The cubic root of 3564396864 is about 1527.5497060425.

The spelling of 3564396864 in words is "three billion, five hundred sixty-four million, three hundred ninety-six thousand, eight hundred sixty-four".