3006470628 has 96 divisors (see below), whose sum is σ = 8947814400. Its totient is φ = 855158688.

The previous prime is 3006470581. The next prime is 3006470653. The reversal of 3006470628 is 8260746003.

3006470628 is a `hidden beast` number, since 3 + 0 + 0 + 647 + 0 + 6 + 2 + 8 = 666.

3006470628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3006470628³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3006470592 and 3006470601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162853 + ... + 180371.

It is an arithmetic number, because the mean of its divisors is an integer number (93206400).

Almost surely, 2^3006470628 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 3006470628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473907200).

3006470628 is an abundant number, since it is smaller than the sum of its proper divisors (5941343772).

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

3006470628 is a wasteful number, since it uses less digits than its factorization.

3006470628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17766 (or 17758 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3006470628 is about 54831.2924159189. The cubic root of 3006470628 is about 1443.2857435264.

The spelling of 3006470628 in words is "three billion, six million, four hundred seventy thousand, six hundred twenty-eight".