3681216 has 168 divisors, whose sum is σ = 13313664. Its totient is φ = 944640.

The previous prime is 3681199. The next prime is 3681217. The reversal of 3681216 is 6121863.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3681216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681217) 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, 44311 + ... + 44393.

It is an arithmetic number, because the mean of its divisors is an integer number (79248).

Almost surely, 2^3681216 is an apocalyptic number.

3681216 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 3681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832).

3681216 is an abundant number, since it is smaller than the sum of its proper divisors (9632448).

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

3681216 is a wasteful number, since it uses less digits than its factorization.

3681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 3681216 is about 1918.6495250566. The cubic root of 3681216 is about 154.4058558635.

The spelling of 3681216 in words is "three million, six hundred eighty-one thousand, two hundred sixteen".