3006268680 has 64 divisors (see below), whose sum is σ = 9052430400. Its totient is φ = 798682880.

The previous prime is 3006268669. The next prime is 3006268687. The reversal of 3006268680 is 868626003.

It is not an unprimeable number, because it can be changed into a prime (3006268687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14286 + ... + 78845.

It is an arithmetic number, because the mean of its divisors is an integer number (141444225).

Almost surely, 2^3006268680 is an apocalyptic number.

3006268680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006268680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526215200).

3006268680 is an abundant number, since it is smaller than the sum of its proper divisors (6046161720).

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

3006268680 is a wasteful number, since it uses less digits than its factorization.

3006268680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93414 (or 93410 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3006268680 is about 54829.4508453258. The cubic root of 3006268680 is about 1443.2534270961.

The spelling of 3006268680 in words is "three billion, six million, two hundred sixty-eight thousand, six hundred eighty".