3321416 has 48 divisors (see below), whose sum is σ = 7472700. Its totient is φ = 1378944.

The previous prime is 3321403. The next prime is 3321419. The reversal of 3321416 is 6141233.

It can be written as a sum of positive squares in 2 ways, for example, as 2592100 + 729316 = 1610^2 + 854^2 .

It is a super-3 number, since 3×3321416³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3321419) 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, 14390 + ... + 14618.

Almost surely, 2^3321416 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 3321416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736350).

3321416 is an abundant number, since it is smaller than the sum of its proper divisors (4151284).

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

3321416 is a wasteful number, since it uses less digits than its factorization.

3321416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 3321416 is about 1822.4752398867. The cubic root of 3321416 is about 149.2019243284.

Adding to 3321416 its reverse (6141233), we get a palindrome (9462649).

The spelling of 3321416 in words is "three million, three hundred twenty-one thousand, four hundred sixteen".