3257827328 has 96 divisors (see below), whose sum is σ = 7583054850. Its totient is φ = 1395523584.

The previous prime is 3257827327. The next prime is 3257827333. The reversal of 3257827328 is 8237287523.

It can be written as a sum of positive squares in only one way, i.e., 1773420544 + 1484406784 = 42112^2 + 38528^2 .

It is a super-2 number, since 2×3257827328² = 21226877798127239168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3257827327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1604618 + ... + 1606646.

Almost surely, 2^3257827328 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 3257827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791527425).

3257827328 is an abundant number, since it is smaller than the sum of its proper divisors (4325227522).

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

3257827328 is an frugal number, since it uses more digits than its factorization.

3257827328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2038 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 47.

The square root of 3257827328 is about 57077.3801781406. The cubic root of 3257827328 is about 1482.4362310015.

The spelling of 3257827328 in words is "three billion, two hundred fifty-seven million, eight hundred twenty-seven thousand, three hundred twenty-eight".