3005559648 has 576 divisors, whose sum is σ = 11325726720. Its totient is φ = 768144384.

The previous prime is 3005559629. The next prime is 3005559679. The reversal of 3005559648 is 8469555003.

3005559648 is a `hidden beast` number, since 3 + 0 + 0 + 55 + 596 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23665761 + ... + 23665887.

It is an arithmetic number, because the mean of its divisors is an integer number (19662720).

Almost surely, 2^3005559648 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 3005559648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662863360).

3005559648 is an abundant number, since it is smaller than the sum of its proper divisors (8320167072).

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

3005559648 is a wasteful number, since it uses less digits than its factorization.

3005559648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 3005559648 is about 54822.9846688412. The cubic root of 3005559648 is about 1443.1399538359.

The spelling of 3005559648 in words is "three billion, five million, five hundred fifty-nine thousand, six hundred forty-eight".