3867312 has 80 divisors (see below), whose sum is σ = 10856448. Its totient is φ = 1182720.

The previous prime is 3867271. The next prime is 3867323. The reversal of 3867312 is 2137683.

3867312 = 399² + 400² + ... + 421².

It is a super-2 number, since 2×3867312² = 29912204210688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3867312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34168 + ... + 34280.

Almost surely, 2^3867312 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 3867312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428224).

3867312 is an abundant number, since it is smaller than the sum of its proper divisors (6989136).

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

3867312 is a wasteful number, since it uses less digits than its factorization.

3867312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 3867312 is about 1966.5482450222. The cubic root of 3867312 is about 156.9650888609.

The spelling of 3867312 in words is "three million, eight hundred sixty-seven thousand, three hundred twelve".