3008688238920 has 512 divisors, whose sum is σ = 11477975040000. Its totient is φ = 613754081280.

The previous prime is 3008688238909. The next prime is 3008688238999. The reversal of 3008688238920 is 298328868003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 432963606 + ... + 432970554.

It is an arithmetic number, because the mean of its divisors is an integer number (22417920000).

Almost surely, 2^{3008688238920} is an apocalyptic number.

3008688238920 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 3008688238920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738987520000).

3008688238920 is an abundant number, since it is smaller than the sum of its proper divisors (8469286801080).

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

3008688238920 is a wasteful number, since it uses less digits than its factorization.

3008688238920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293 (or 8289 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 3008688238920 in words is "three trillion, eight billion, six hundred eighty-eight million, two hundred thirty-eight thousand, nine hundred twenty".