3311616 has 144 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 860160.

The previous prime is 3311603. The next prime is 3311621. The reversal of 3311616 is 6161133.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3311592 and 3311601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301051 + ... + 301061.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

Almost surely, 2^3311616 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 3311616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960).

3311616 is an abundant number, since it is smaller than the sum of its proper divisors (7892304).

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

3311616 is a wasteful number, since it uses less digits than its factorization.

3311616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 23 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 3311616 is about 1819.7846026385. The cubic root of 3311616 is about 149.0550372480.

Adding to 3311616 its reverse (6161133), we get a palindrome (9472749).

The spelling of 3311616 in words is "three million, three hundred eleven thousand, six hundred sixteen".