3693312 has 108 divisors (see below), whose sum is σ = 12223120. Its totient is φ = 1050624.

The previous prime is 3693311. The next prime is 3693323. The reversal of 3693312 is 2133963.

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

It is not an unprimeable number, because it can be changed into a prime (3693311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16014 + ... + 16242.

Almost surely, 2^3693312 is an apocalyptic number.

3693312 is a gapful number since it is divisible by the number (32) 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 3693312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6111560).

3693312 is an abundant number, since it is smaller than the sum of its proper divisors (8529808).

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

3693312 is a wasteful number, since it uses less digits than its factorization.

3693312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 3693312 is about 1921.7991570401. The cubic root of 3693312 is about 154.5747901951.

It can be divided in two parts, 3693 and 312, that added together give a triangular number (4005 = T₈₉).

The spelling of 3693312 in words is "three million, six hundred ninety-three thousand, three hundred twelve".