3283428564 has 72 divisors (see below), whose sum is σ = 8977546760. Its totient is φ = 1005841152.

The previous prime is 3283428557. The next prime is 3283428587. The reversal of 3283428564 is 4658243823.

3283428564 is a `hidden beast` number, since 3 + 2 + 83 + 4 + 2 + 8 + 564 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1497690000 + 1785738564 = 38700^2 + 42258^2 .

It is a super-2 number, since 2×3283428564² = 21561806269782204192, which contains 22 as substring.

It is a nialpdrome in base 12.

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, 91854 + ... + 122490.

Almost surely, 2^3283428564 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 3283428564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488773380).

3283428564 is an abundant number, since it is smaller than the sum of its proper divisors (5694118196).

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

3283428564 is a wasteful number, since it uses less digits than its factorization.

3283428564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30889 (or 30884 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 3283428564 is about 57301.2090971910. The cubic root of 3283428564 is about 1486.3092843709.

The spelling of 3283428564 in words is "three billion, two hundred eighty-three million, four hundred twenty-eight thousand, five hundred sixty-four".