3307630144 has 189 divisors, whose sum is σ = 8373662577. Its totient is φ = 1291949568.

The previous prime is 3307630129. The next prime is 3307630147. The reversal of 3307630144 is 4410367033.

The square root of 3307630144 is 57512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 489294400 + 2818335744 = 22120^2 + 53088^2 .

It is not an unprimeable number, because it can be changed into a prime (3307630147) 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 26 ways as a sum of consecutive naturals, for example, 41868697 + ... + 41868775.

It is an arithmetic number, because the mean of its divisors is an integer number (44305093).

Almost surely, 2^3307630144 is an apocalyptic number.

3307630144 is the 57512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3307630144

3307630144 is an abundant number, since it is smaller than the sum of its proper divisors (5066032433).

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

3307630144 is an equidigital number, since it uses as much as digits as its factorization.

3307630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The cubic root of 3307630144 is about 1489.9521243419.

Adding to 3307630144 its reverse (4410367033), we get a palindrome (7717997177).

The spelling of 3307630144 in words is "three billion, three hundred seven million, six hundred thirty thousand, one hundred forty-four".