3482327296 has 162 divisors, whose sum is σ = 8544987990. Its totient is φ = 1412038656.

The previous prime is 3482327293. The next prime is 3482327327. The reversal of 3482327296 is 6927232843.

It can be written as a sum of positive squares in only one way, i.e., 2830240000 + 652087296 = 53200^2 + 25536^2 .

It is not an unprimeable number, because it can be changed into a prime (3482327293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4528000 + ... + 4528768.

Almost surely, 2^3482327296 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 3482327296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272493995).

3482327296 is an abundant number, since it is smaller than the sum of its proper divisors (5062660694).

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

3482327296 is an equidigital number, since it uses as much as digits as its factorization.

3482327296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 797 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The square root of 3482327296 is about 59011.2471991569. The cubic root of 3482327296 is about 1515.7347089755.

The spelling of 3482327296 in words is "three billion, four hundred eighty-two million, three hundred twenty-seven thousand, two hundred ninety-six".