3321065664 has 224 divisors, whose sum is σ = 11201034240. Its totient is φ = 945229824.

The previous prime is 3321065599. The next prime is 3321065669. The reversal of 3321065664 is 4665601233.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3321065664² = 22058954289199521792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3321065669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5600152 + ... + 5600744.

Almost surely, 2^3321065664 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 3321065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600517120).

3321065664 is an abundant number, since it is smaller than the sum of its proper divisors (7879968576).

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

3321065664 is a wasteful number, since it uses less digits than its factorization.

3321065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3321065664 is about 57628.6878559628. The cubic root of 3321065664 is about 1491.9667830846.

Adding to 3321065664 its reverse (4665601233), we get a palindrome (7986666897).

The spelling of 3321065664 in words is "three billion, three hundred twenty-one million, sixty-five thousand, six hundred sixty-four".