3005200 has 60 divisors (see below), whose sum is σ = 7887888. Its totient is φ = 1091200.

The previous prime is 3005179. The next prime is 3005207. The reversal of 3005200 is 25003.

3005200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (3005207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4059 + ... + 4741.

Almost surely, 2^3005200 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 3005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943944).

3005200 is an abundant number, since it is smaller than the sum of its proper divisors (4882688).

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

3005200 is a wasteful number, since it uses less digits than its factorization.

3005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 3005200 is about 1733.5512683506. The cubic root of 3005200 is about 144.3082389060.

The spelling of 3005200 in words is "three million, five thousand, two hundred".