3256448832 has 588 divisors, whose sum is σ = 12193158240. Its totient is φ = 844286976.

The previous prime is 3256448791. The next prime is 3256448837. The reversal of 3256448832 is 2388446523.

3256448832 is a `hidden beast` number, since 3 + 2 + 564 + 4 + 8 + 83 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3256448837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 55194019 + ... + 55194077.

Almost surely, 2^3256448832 is an apocalyptic number.

3256448832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3256448832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096579120).

3256448832 is an abundant number, since it is smaller than the sum of its proper divisors (8936709408).

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

3256448832 is an equidigital number, since it uses as much as digits as its factorization.

3256448832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 3256448832 is about 57065.3032235876. The cubic root of 3256448832 is about 1482.2271120084.

The spelling of 3256448832 in words is "three billion, two hundred fifty-six million, four hundred forty-eight thousand, eight hundred thirty-two".