3320604144 has 360 divisors, whose sum is σ = 11307786672. Its totient is φ = 896624640.

The previous prime is 3320604137. The next prime is 3320604149. The reversal of 3320604144 is 4414060233.

3320604144 is a `hidden beast` number, since 33 + 20 + 604 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×3320604144² = 22052823762299945472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320604149) 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 71 ways as a sum of consecutive naturals, for example, 45487692 + ... + 45487764.

Almost surely, 2^3320604144 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 3320604144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653893336).

3320604144 is an abundant number, since it is smaller than the sum of its proper divisors (7987182528).

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

3320604144 is a wasteful number, since it uses less digits than its factorization.

3320604144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3320604144 is about 57624.6834611697. The cubic root of 3320604144 is about 1491.8976682805.

Adding to 3320604144 its reverse (4414060233), we get a palindrome (7734664377).

The spelling of 3320604144 in words is "three billion, three hundred twenty million, six hundred four thousand, one hundred forty-four".