3006904320 has 576 divisors, whose sum is σ = 12265344000. Its totient is φ = 667090944.

The previous prime is 3006904319. The next prime is 3006904357. The reversal of 3006904320 is 234096003.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 38062041 + ... + 38062119.

It is an arithmetic number, because the mean of its divisors is an integer number (21294000).

Almost surely, 2^3006904320 is an apocalyptic number.

3006904320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672000).

3006904320 is an abundant number, since it is smaller than the sum of its proper divisors (9258439680).

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

3006904320 is a wasteful number, since it uses less digits than its factorization.

3006904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3006904320 is about 54835.2470588033. The cubic root of 3006904320 is about 1443.3551395573.

The spelling of 3006904320 in words is "three billion, six million, nine hundred four thousand, three hundred twenty".