3008066880 has 336 divisors, whose sum is σ = 11966935680. Its totient is φ = 634540032.

The previous prime is 3008066879. The next prime is 3008066911. The reversal of 3008066880 is 886608003.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 609061 + ... + 613979.

It is an arithmetic number, because the mean of its divisors is an integer number (35615880).

Almost surely, 2^3008066880 is an apocalyptic number.

3008066880 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 3008066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983467840).

3008066880 is an abundant number, since it is smaller than the sum of its proper divisors (8958868800).

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

3008066880 is a wasteful number, since it uses less digits than its factorization.

3008066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4949 counting only the distinct ones).

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

The square root of 3008066880 is about 54845.8465154837. The cubic root of 3008066880 is about 1443.5411304819.

The spelling of 3008066880 in words is "three billion, eight million, sixty-six thousand, eight hundred eighty".