3320305164 has 72 divisors (see below), whose sum is σ = 9178303680. Its totient is φ = 1003701600.

The previous prime is 3320305159. The next prime is 3320305169. The reversal of 3320305164 is 4615030233.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3320305159) and next prime (3320305169).

It is a super-2 number, since 2×3320305164² = 22048852764170133792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3320305169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155919 + ... + 175929.

It is an arithmetic number, because the mean of its divisors is an integer number (127476440).

Almost surely, 2^3320305164 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 3320305164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589151840).

3320305164 is an abundant number, since it is smaller than the sum of its proper divisors (5857998516).

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

3320305164 is a wasteful number, since it uses less digits than its factorization.

3320305164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20451 (or 20446 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3320305164 is about 57622.0892019718. The cubic root of 3320305164 is about 1491.8528911924.

Adding to 3320305164 its reverse (4615030233), we get a palindrome (7935335397).

The spelling of 3320305164 in words is "three billion, three hundred twenty million, three hundred five thousand, one hundred sixty-four".