3443688 has 64 divisors (see below), whose sum is σ = 9720000. Its totient is φ = 1129536.

The previous prime is 3443683. The next prime is 3443719. The reversal of 3443688 is 8863443.

3443688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (3443681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23038 + ... + 23186.

It is an arithmetic number, because the mean of its divisors is an integer number (151875).

Almost surely, 2^3443688 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 3443688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860000).

3443688 is an abundant number, since it is smaller than the sum of its proper divisors (6276312).

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

3443688 is a wasteful number, since it uses less digits than its factorization.

3443688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3443688 is about 1855.7176509372. The cubic root of 3443688 is about 151.0107736125.

The spelling of 3443688 in words is "three million, four hundred forty-three thousand, six hundred eighty-eight".