3005800 has 96 divisors (see below), whose sum is σ = 8481600. Its totient is φ = 967680.

The previous prime is 3005773. The next prime is 3005809. The reversal of 3005800 is 85003.

It is not an unprimeable number, because it can be changed into a prime (3005809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26544 + ... + 26656.

It is an arithmetic number, because the mean of its divisors is an integer number (88350).

Almost surely, 2^3005800 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 3005800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240800).

3005800 is an abundant number, since it is smaller than the sum of its proper divisors (5475800).

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

3005800 is a wasteful number, since it uses less digits than its factorization.

3005800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 3005800 is about 1733.7243148782. The cubic root of 3005800 is about 144.3178421694.

The spelling of 3005800 in words is "three million, five thousand, eight hundred".