3264064128 has 320 divisors, whose sum is σ = 10659291720. Its totient is φ = 985374720.

The previous prime is 3264064127. The next prime is 3264064163. The reversal of 3264064128 is 8214604623.

3264064128 is a `hidden beast` number, since 3 + 2 + 6 + 4 + 0 + 641 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1573867584 + 1690196544 = 39672^2 + 41112^2 .

It is a super-2 number, since 2×3264064128² = 21308229263392800768, which contains 22 as substring.

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

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 3264064092 and 3264064101.

It is not an unprimeable number, because it can be changed into a prime (3264064127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8221626 + ... + 8222022.

Almost surely, 2^3264064128 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 3264064128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329645860).

3264064128 is an abundant number, since it is smaller than the sum of its proper divisors (7395227592).

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

3264064128 is a wasteful number, since it uses less digits than its factorization.

3264064128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3264064128 is about 57131.9886578439. The cubic root of 3264064128 is about 1483.3816222746.

The spelling of 3264064128 in words is "three billion, two hundred sixty-four million, sixty-four thousand, one hundred twenty-eight".