3258431712 has 168 divisors, whose sum is σ = 10037989584. Its totient is φ = 1038749184.

The previous prime is 3258431711. The next prime is 3258431747. The reversal of 3258431712 is 2171348523.

3258431712 is a `hidden beast` number, since 3 + 2 + 584 + 3 + 1 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3258431711) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 533508 + ... + 539580.

It is an arithmetic number, because the mean of its divisors is an integer number (59749938).

Almost surely, 2^3258431712 is an apocalyptic number.

3258431712 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 3258431712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018994792).

3258431712 is an abundant number, since it is smaller than the sum of its proper divisors (6779557872).

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

3258431712 is an equidigital number, since it uses as much as digits as its factorization.

3258431712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6101 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3258431712 is about 57082.6743592134. The cubic root of 3258431712 is about 1482.5278979571.

The spelling of 3258431712 in words is "three billion, two hundred fifty-eight million, four hundred thirty-one thousand, seven hundred twelve".