3243684672 has 84 divisors (see below), whose sum is σ = 9310022020. Its totient is φ = 1079764992.

The previous prime is 3243684671. The next prime is 3243684673. The reversal of 3243684672 is 2764863423.

It is an interprime number because it is at equal distance from previous prime (3243684671) and next prime (3243684673).

It can be written as a sum of positive squares in 2 ways, for example, as 1017354816 + 2226329856 = 31896^2 + 47184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243684671) 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 11 ways as a sum of consecutive naturals, for example, 474108 + ... + 480900.

Almost surely, 2^3243684672 is an apocalyptic number.

3243684672 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 3243684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655011010).

3243684672 is an abundant number, since it is smaller than the sum of its proper divisors (6066337348).

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

3243684672 is a wasteful number, since it uses less digits than its factorization.

3243684672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7640 (or 7627 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 3243684672 is about 56953.3552303988. The cubic root of 3243684672 is about 1480.2879692877.

The spelling of 3243684672 in words is "three billion, two hundred forty-three million, six hundred eighty-four thousand, six hundred seventy-two".