3967684 has 48 divisors (see below), whose sum is σ = 8499456. Its totient is φ = 1584000.

The previous prime is 3967679. The next prime is 3967687. The reversal of 3967684 is 4867693.

It is a happy number.

3967684 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3967684.

It is not an unprimeable number, because it can be changed into a prime (3967687) 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, 39234 + ... + 39334.

It is an arithmetic number, because the mean of its divisors is an integer number (177072).

Almost surely, 2^3967684 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 3967684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249728).

3967684 is an abundant number, since it is smaller than the sum of its proper divisors (4531772).

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

3967684 is a wasteful number, since it uses less digits than its factorization.

3967684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 3967684 is about 1991.9046161902. The cubic root of 3967684 is about 158.3114616757.

Subtracting 3967684 from its reverse (4867693), we obtain a palindrome (900009).

The spelling of 3967684 in words is "three million, nine hundred sixty-seven thousand, six hundred eighty-four".