3006632320 has 64 divisors (see below), whose sum is σ = 7197854400. Its totient is φ = 1200959488.

The previous prime is 3006632297. The next prime is 3006632329. The reversal of 3006632320 is 232366003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006632329) 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 7 ways as a sum of consecutive naturals, for example, 514857 + ... + 520663.

It is an arithmetic number, because the mean of its divisors is an integer number (112466475).

Almost surely, 2^3006632320 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 3006632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598927200).

3006632320 is an abundant number, since it is smaller than the sum of its proper divisors (4191222080).

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

3006632320 is an equidigital number, since it uses as much as digits as its factorization.

3006632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6635 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 3006632320 is about 54832.7668461113. The cubic root of 3006632320 is about 1443.3116170067.

Adding to 3006632320 its reverse (232366003), we get a palindrome (3238998323).

The spelling of 3006632320 in words is "three billion, six million, six hundred thirty-two thousand, three hundred twenty".