3268568576 has 240 divisors, whose sum is σ = 8419273632. Its totient is φ = 1234206720.

The previous prime is 3268568561. The next prime is 3268568579. The reversal of 3268568576 is 6758658623.

It is a Harshad number since it is a multiple of its sum of digits (56).

Its product of digits (14515200) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3268568579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44774876 + ... + 44774948.

Almost surely, 2^3268568576 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 3268568576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209636816).

3268568576 is an abundant number, since it is smaller than the sum of its proper divisors (5150705056).

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

3268568576 is an equidigital number, since it uses as much as digits as its factorization.

3268568576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 126 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 56.

The square root of 3268568576 is about 57171.3964846058. The cubic root of 3268568576 is about 1484.0636701564.

The spelling of 3268568576 in words is "three billion, two hundred sixty-eight million, five hundred sixty-eight thousand, five hundred seventy-six".