8638344 has 96 divisors (see below), whose sum is σ = 27518400. Its totient is φ = 2413440.

The previous prime is 8638339. The next prime is 8638349. The reversal of 8638344 is 4438368.

It is an interprime number because it is at equal distance from previous prime (8638339) and next prime (8638349).

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 a junction number, because it is equal to n+sod(n) for n = 8638299 and 8638308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8638349) 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 23 ways as a sum of consecutive naturals, for example, 9877 + ... + 10715.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 2^8638344 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 8638344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759200).

8638344 is an abundant number, since it is smaller than the sum of its proper divisors (18880056).

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

8638344 is a wasteful number, since it uses less digits than its factorization.

8638344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 868 counting only the distinct ones).

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

The square root of 8638344 is about 2939.1059865204. The cubic root of 8638344 is about 205.1840029480.

The spelling of 8638344 in words is "eight million, six hundred thirty-eight thousand, three hundred forty-four".