3226800 has 60 divisors (see below), whose sum is σ = 10340360. Its totient is φ = 860160.

The previous prime is 3226793. The next prime is 3226829. The reversal of 3226800 is 86223.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145 + ... + 2544.

Almost surely, 2^3226800 is an apocalyptic number.

3226800 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 3226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170180).

3226800 is an abundant number, since it is smaller than the sum of its proper divisors (7113560).

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

3226800 is a wasteful number, since it uses less digits than its factorization.

3226800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3226800 is about 1796.3295911386. The cubic root of 3226800 is about 147.7715003311.

The spelling of 3226800 in words is "three million, two hundred twenty-six thousand, eight hundred".