3008086680 has 128 divisors (see below), whose sum is σ = 9426067200. Its totient is φ = 767181312.

The previous prime is 3008086667. The next prime is 3008086693. The reversal of 3008086680 is 866808003.

It is an interprime number because it is at equal distance from previous prime (3008086667) and next prime (3008086693).

It is a congruent number.

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, 256219 + ... + 267701.

It is an arithmetic number, because the mean of its divisors is an integer number (73641150).

Almost surely, 2^3008086680 is an apocalyptic number.

3008086680 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 3008086680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713033600).

3008086680 is an abundant number, since it is smaller than the sum of its proper divisors (6417980520).

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

3008086680 is a wasteful number, since it uses less digits than its factorization.

3008086680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11593 (or 11589 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 3008086680 is about 54846.0270211070. The cubic root of 3008086680 is about 1443.5442977487.

The spelling of 3008086680 in words is "three billion, eight million, eighty-six thousand, six hundred eighty".