3667312 has 40 divisors (see below), whose sum is σ = 7892352. Its totient is φ = 1636800.

The previous prime is 3667303. The next prime is 3667333. The reversal of 3667312 is 2137663.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11637 + ... + 11947.

Almost surely, 2^3667312 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 3667312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946176).

3667312 is an abundant number, since it is smaller than the sum of its proper divisors (4225040).

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

3667312 is a wasteful number, since it uses less digits than its factorization.

3667312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its digits is 4536, while the sum is 28.

The square root of 3667312 is about 1915.0227152700. The cubic root of 3667312 is about 154.2112129692.

The spelling of 3667312 in words is "three million, six hundred sixty-seven thousand, three hundred twelve".