3006306640 has 20 divisors (see below), whose sum is σ = 6989663124. Its totient is φ = 1202522624.

The previous prime is 3006306631. The next prime is 3006306679. The reversal of 3006306640 is 466036003.

It can be written as a sum of positive squares in 2 ways, for example, as 479434816 + 2526871824 = 21896^2 + 50268^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×3006306640² = 18075759227416179200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3006306599 and 3006306608.

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 3 ways as a sum of consecutive naturals, for example, 18789337 + ... + 18789496.

Almost surely, 2^3006306640 is an apocalyptic number.

It is an amenable number.

3006306640 is an abundant number, since it is smaller than the sum of its proper divisors (3983356484).

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

3006306640 is a wasteful number, since it uses less digits than its factorization.

3006306640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37578846 (or 37578840 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 3006306640 is about 54829.7970085610. The cubic root of 3006306640 is about 1443.2595016995.

The spelling of 3006306640 in words is "three billion, six million, three hundred six thousand, six hundred forty".