3693216 has 96 divisors (see below), whose sum is σ = 10741248. Its totient is φ = 1105920.

The previous prime is 3693211. The next prime is 3693253. The reversal of 3693216 is 6123963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3693211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50556 + ... + 50628.

It is an arithmetic number, because the mean of its divisors is an integer number (111888).

Almost surely, 2^3693216 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 3693216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370624).

3693216 is an abundant number, since it is smaller than the sum of its proper divisors (7048032).

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

3693216 is a wasteful number, since it uses less digits than its factorization.

3693216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The square root of 3693216 is about 1921.7741802824. The cubic root of 3693216 is about 154.5734508996.

The spelling of 3693216 in words is "three million, six hundred ninety-three thousand, two hundred sixteen".