3324100 has 36 divisors (see below), whose sum is σ = 7771204. Its totient is φ = 1226880.

The previous prime is 3324091. The next prime is 3324103. The reversal of 3324100 is 14233.

It can be written as a sum of positive squares in 6 ways, for example, as 440896 + 2883204 = 664^2 + 1698^2 .

It is a super-3 number, since 3×3324100³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (3324103) 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, 22 + ... + 2578.

Almost surely, 2^3324100 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 3324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885602).

3324100 is an abundant number, since it is smaller than the sum of its proper divisors (4447104).

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

3324100 is a wasteful number, since it uses less digits than its factorization.

3324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3324100 is about 1823.2114523554. The cubic root of 3324100 is about 149.2421029896.

Adding to 3324100 its reverse (14233), we get a palindrome (3338333).

The spelling of 3324100 in words is "three million, three hundred twenty-four thousand, one hundred".