3049200 has 270 divisors, whose sum is σ = 13292552. Its totient is φ = 633600.

The previous prime is 3049199. The next prime is 3049201. The reversal of 3049200 is 29403.

3049200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3049199) and next prime (3049201).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3049201) 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 53 ways as a sum of consecutive naturals, for example, 277195 + ... + 277205.

Almost surely, 2^3049200 is an apocalyptic number.

3049200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3049200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646276).

3049200 is an abundant number, since it is smaller than the sum of its proper divisors (10243352).

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

3049200 is a wasteful number, since it uses less digits than its factorization.

3049200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3049200 is about 1746.1958653026. The cubic root of 3049200 is about 145.0091155585.

It can be divided in two parts, 3049 and 200, that added together give a square (3249 = 57²).

The spelling of 3049200 in words is "three million, forty-nine thousand, two hundred".