3528663264 has 324 divisors, whose sum is σ = 12156626664. Its totient is φ = 1008189504.

The previous prime is 3528663263. The next prime is 3528663329. The reversal of 3528663264 is 4623668253.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3528663264 is a `hidden beast` number, since 3 + 5 + 2 + 8 + 6 + 632 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

Its product of digits (1244160) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3528663263) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 504094749 + ... + 504094755.

Almost surely, 2^3528663264 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 3528663264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078313332).

3528663264 is an abundant number, since it is smaller than the sum of its proper divisors (8627963400).

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

3528663264 is an frugal number, since it uses more digits than its factorization.

3528663264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 12 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 3528663264 is about 59402.5526724231. The cubic root of 3528663264 is about 1522.4279157310.

The spelling of 3528663264 in words is "three billion, five hundred twenty-eight million, six hundred sixty-three thousand, two hundred sixty-four".