8395344 has 60 divisors (see below), whose sum is σ = 23701236. Its totient is φ = 2774016.

The previous prime is 8395339. The next prime is 8395349. The reversal of 8395344 is 4435938.

It is an interprime number because it is at equal distance from previous prime (8395339) and next prime (8395349).

It can be written as a sum of positive squares in 2 ways, for example, as 5198400 + 3196944 = 2280^2 + 1788^2 .

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

It is a d-powerful number, because it can be written as 8 + 3⁴ + 9² + 5 + 3⁸ + 4¹¹ + 4¹¹ .

It is a junction number, because it is equal to n+sod(n) for n = 8395299 and 8395308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8395349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24744 + ... + 25080.

Almost surely, 2^8395344 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 8395344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850618).

8395344 is an abundant number, since it is smaller than the sum of its proper divisors (15305892).

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

8395344 is a wasteful number, since it uses less digits than its factorization.

8395344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 8395344 is about 2897.4720015904. The cubic root of 8395344 is about 203.2417061561.

The spelling of 8395344 in words is "eight million, three hundred ninety-five thousand, three hundred forty-four".