3001606560 has 72 divisors (see below), whose sum is σ = 10242987300. Its totient is φ = 800428032.

The previous prime is 3001606549. The next prime is 3001606591. The reversal of 3001606560 is 656061003.

3001606560 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 6 + 0 + 656 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2925079056 + 76527504 = 54084^2 + 8748^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1040785 + ... + 1043664.

Almost surely, 2^3001606560 is an apocalyptic number.

3001606560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001606560 is an abundant number, since it is smaller than the sum of its proper divisors (7241380740).

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

3001606560 is a wasteful number, since it uses less digits than its factorization.

3001606560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084470 (or 2084459 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3001606560 is about 54786.9196067821. The cubic root of 3001606560 is about 1442.5069755276.

Adding to 3001606560 its reverse (656061003), we get a palindrome (3657667563).

The spelling of 3001606560 in words is "three billion, one million, six hundred six thousand, five hundred sixty".