3036800 has 96 divisors (see below), whose sum is σ = 8189580. Its totient is φ = 1105920.

The previous prime is 3036799. The next prime is 3036809. The reversal of 3036800 is 86303.

3036800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

3036800 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 6 ways, for example, as 652864 + 2383936 = 808^2 + 1544^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3036809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41564 + ... + 41636.

Almost surely, 2^3036800 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 3036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094790).

3036800 is an abundant number, since it is smaller than the sum of its proper divisors (5152780).

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

3036800 is a wasteful number, since it uses less digits than its factorization.

3036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3036800 is about 1742.6416728634. The cubic root of 3036800 is about 144.8122818556.

The spelling of 3036800 in words is "three million, thirty-six thousand, eight hundred".