3667216 has 40 divisors (see below), whose sum is σ = 8213760. Its totient is φ = 1553664.

The previous prime is 3667201. The next prime is 3667219. The reversal of 3667216 is 6127663.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3667219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15225 + ... + 15463.

It is an arithmetic number, because the mean of its divisors is an integer number (205344).

Almost surely, 2^3667216 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 3667216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106880).

3667216 is an abundant number, since it is smaller than the sum of its proper divisors (4546544).

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

3667216 is a wasteful number, since it uses less digits than its factorization.

3667216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 3667216 is about 1914.9976501291. The cubic root of 3667216 is about 154.2098673510.

It can be divided in two parts, 3667 and 216, that added together give a palindrome (3883).

The spelling of 3667216 in words is "three million, six hundred sixty-seven thousand, two hundred sixteen".