3349200 has 60 divisors (see below), whose sum is σ = 10732448. Its totient is φ = 892800.

The previous prime is 3349189. The next prime is 3349201. The reversal of 3349200 is 29433.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3349200² = 22434281280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349201) 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, 196 + ... + 2595.

Almost surely, 2^3349200 is an apocalyptic number.

3349200 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 3349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366224).

3349200 is an abundant number, since it is smaller than the sum of its proper divisors (7383248).

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

3349200 is a wasteful number, since it uses less digits than its factorization.

3349200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3349200 is about 1830.0819653775. The cubic root of 3349200 is about 149.6167996614.

The spelling of 3349200 in words is "three million, three hundred forty-nine thousand, two hundred".