3268165824 has 336 divisors, whose sum is σ = 12060911616. Its totient is φ = 821145600.

The previous prime is 3268165783. The next prime is 3268165843. The reversal of 3268165824 is 4285618623.

3268165824 is a `hidden beast` number, since 3 + 2 + 68 + 1 + 6 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 3268165824.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1373724 + ... + 1376100.

Almost surely, 2^3268165824 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 3268165824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030455808).

3268165824 is an abundant number, since it is smaller than the sum of its proper divisors (8792745792).

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

3268165824 is a wasteful number, since it uses less digits than its factorization.

3268165824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2431 counting only the distinct ones).

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

The square root of 3268165824 is about 57167.8740552769. The cubic root of 3268165824 is about 1484.0027123651.

The spelling of 3268165824 in words is "three billion, two hundred sixty-eight million, one hundred sixty-five thousand, eight hundred twenty-four".