3066306624 has 224 divisors, whose sum is σ = 9343136000. Its totient is φ = 985374720.

The previous prime is 3066306569. The next prime is 3066306767. The reversal of 3066306624 is 4266036603.

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

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, 12723144 + ... + 12723384.

Almost surely, 2^3066306624 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 3066306624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671568000).

3066306624 is an abundant number, since it is smaller than the sum of its proper divisors (6276829376).

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

3066306624 is a wasteful number, since it uses less digits than its factorization.

3066306624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3066306624 is about 55374.2415207649. The cubic root of 3066306624 is about 1452.7978676216.

The spelling of 3066306624 in words is "three billion, sixty-six million, three hundred six thousand, six hundred twenty-four".