3141216 has 72 divisors (see below), whose sum is σ = 9631440. Its totient is φ = 965376.

The previous prime is 3141211. The next prime is 3141217. The reversal of 3141216 is 6121413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3325 + ... + 4163.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

Almost surely, 2^3141216 is an apocalyptic number.

3141216 is a gapful number since it is divisible by the number (36) 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 3141216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815720).

3141216 is an abundant number, since it is smaller than the sum of its proper divisors (6490224).

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

3141216 is a wasteful number, since it uses less digits than its factorization.

3141216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 857 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3141216 is about 1772.3475957046. The cubic root of 3141216 is about 146.4533353998.

Adding to 3141216 its reverse (6121413), we get a palindrome (9262629).

The spelling of 3141216 in words is "three million, one hundred forty-one thousand, two hundred sixteen".