3220400 has 60 divisors (see below), whose sum is σ = 7910952. Its totient is φ = 1259520.

The previous prime is 3220381. The next prime is 3220409. The reversal of 3220400 is 40223.

It is not an unprimeable number, because it can be changed into a prime (3220409) 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, 33152 + ... + 33248.

Almost surely, 2^3220400 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 3220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955476).

3220400 is an abundant number, since it is smaller than the sum of its proper divisors (4690552).

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

3220400 is a wasteful number, since it uses less digits than its factorization.

3220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 3220400 is about 1794.5472966740. The cubic root of 3220400 is about 147.6737395416.

Adding to 3220400 its reverse (40223), we get a palindrome (3260623).

The spelling of 3220400 in words is "three million, two hundred twenty thousand, four hundred".