3216825864 has 96 divisors (see below), whose sum is σ = 10018182720. Its totient is φ = 913431168.

The previous prime is 3216825827. The next prime is 3216825869. The reversal of 3216825864 is 4685286123.

3216825864 is a `hidden beast` number, since 3 + 2 + 1 + 68 + 2 + 586 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (3216825869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62574 + ... + 101730.

It is an arithmetic number, because the mean of its divisors is an integer number (104356070).

Almost surely, 2^3216825864 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 3216825864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009091360).

3216825864 is an abundant number, since it is smaller than the sum of its proper divisors (6801356856).

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

3216825864 is a wasteful number, since it uses less digits than its factorization.

3216825864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39339 (or 39332 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 3216825864 is about 56717.0685420183. The cubic root of 3216825864 is about 1476.1908779958.

The spelling of 3216825864 in words is "three billion, two hundred sixteen million, eight hundred twenty-five thousand, eight hundred sixty-four".