3221100 has 72 divisors (see below), whose sum is σ = 10363920. Its totient is φ = 858240.

The previous prime is 3221093. The next prime is 3221107. The reversal of 3221100 is 11223.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3221093) and next prime (3221107).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (3221107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2104 + ... + 3296.

Almost surely, 2^3221100 is an apocalyptic number.

3221100 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 3221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181960).

3221100 is an abundant number, since it is smaller than the sum of its proper divisors (7142820).

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

3221100 is a wasteful number, since it uses less digits than its factorization.

3221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3221100 is about 1794.7423213375. The cubic root of 3221100 is about 147.6844384329.

Adding to 3221100 its reverse (11223), we get a palindrome (3232323).

It can be divided in two parts, 3221 and 100, that added together give a triangular number (3321 = T₈₁).

The spelling of 3221100 in words is "three million, two hundred twenty-one thousand, one hundred".