3257221824 has 168 divisors, whose sum is σ = 9661916160. Its totient is φ = 1048499712.

The previous prime is 3257221789. The next prime is 3257221829. The reversal of 3257221824 is 4281227523.

3257221824 is a `hidden beast` number, since 3 + 2 + 572 + 2 + 1 + 82 + 4 = 666.

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 (3257221829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2137927 + ... + 2139449.

Almost surely, 2^3257221824 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 3257221824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830958080).

3257221824 is an abundant number, since it is smaller than the sum of its proper divisors (6404694336).

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

3257221824 is a wasteful number, since it uses less digits than its factorization.

3257221824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1654 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 3257221824 is about 57072.0756938102. The cubic root of 3257221824 is about 1482.3443828060.

The spelling of 3257221824 in words is "three billion, two hundred fifty-seven million, two hundred twenty-one thousand, eight hundred twenty-four".