3083200 has 84 divisors (see below), whose sum is σ = 7936992. Its totient is φ = 1177600.

The previous prime is 3083191. The next prime is 3083203. The reversal of 3083200 is 23803.

It is a happy number.

It is a super-2 number, since 2×3083200² = 19012244480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3083203) 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, 65577 + ... + 65623.

It is an arithmetic number, because the mean of its divisors is an integer number (94488).

Almost surely, 2^3083200 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 3083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968496).

3083200 is an abundant number, since it is smaller than the sum of its proper divisors (4853792).

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

3083200 is a wasteful number, since it uses less digits than its factorization.

3083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3083200 is about 1755.9043254118. The cubic root of 3083200 is about 145.5460976660.

The spelling of 3083200 in words is "three million, eighty-three thousand, two hundred".