3005775808 has 112 divisors (see below), whose sum is σ = 7053681600. Its totient is φ = 1243938816.

The previous prime is 3005775761. The next prime is 3005775923. The reversal of 3005775808 is 8085775003.

3005775808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2469216 + ... + 2470432.

It is an arithmetic number, because the mean of its divisors is an integer number (62979300).

Almost surely, 2^3005775808 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 3005775808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526840800).

3005775808 is an abundant number, since it is smaller than the sum of its proper divisors (4047905792).

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

3005775808 is a wasteful number, since it uses less digits than its factorization.

3005775808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The square root of 3005775808 is about 54824.9560692938. The cubic root of 3005775808 is about 1443.1745499058.

The spelling of 3005775808 in words is "three billion, five million, seven hundred seventy-five thousand, eight hundred eight".