3012800 has 84 divisors (see below), whose sum is σ = 8503920. Its totient is φ = 1029120.

The previous prime is 3012769. The next prime is 3012809. The reversal of 3012800 is 82103.

3012800 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 (14).

It is not an unprimeable number, because it can be changed into a prime (3012809) 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, 11066 + ... + 11334.

Almost surely, 2^3012800 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 3012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251960).

3012800 is an abundant number, since it is smaller than the sum of its proper divisors (5491120).

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

3012800 is a wasteful number, since it uses less digits than its factorization.

3012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 3012800 is about 1735.7419162998. The cubic root of 3012800 is about 144.4297859330.

Adding to 3012800 its reverse (82103), we get a palindrome (3094903).

The spelling of 3012800 in words is "three million, twelve thousand, eight hundred".