3667884 has 48 divisors (see below), whose sum is σ = 9601536. Its totient is φ = 1080000.

The previous prime is 3667871. The next prime is 3667897. The reversal of 3667884 is 4887663.

It is an interprime number because it is at equal distance from previous prime (3667871) and next prime (3667897).

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, 4509 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (200032).

Almost surely, 2^3667884 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 3667884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800768).

3667884 is an abundant number, since it is smaller than the sum of its proper divisors (5933652).

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

3667884 is a wasteful number, since it uses less digits than its factorization.

3667884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 804 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 3667884 is about 1915.1720549340. The cubic root of 3667884 is about 154.2192301244.

The spelling of 3667884 in words is "three million, six hundred sixty-seven thousand, eight hundred eighty-four".