6397344 has 72 divisors (see below), whose sum is σ = 18460260. Its totient is φ = 2101248.

The previous prime is 6397343. The next prime is 6397351. The reversal of 6397344 is 4437936.

It can be written as a sum of positive squares in 2 ways, for example, as 6051600 + 345744 = 2460^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 6 + 3⁹ + 9⁷ + 7³ + 3¹³ + 4 + 4² .

It is a junction number, because it is equal to n+sod(n) for n = 6397299 and 6397308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6397343) 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, 27822 + ... + 28050.

Almost surely, 2^6397344 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 6397344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230130).

6397344 is an abundant number, since it is smaller than the sum of its proper divisors (12062916).

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

6397344 is a wasteful number, since it uses less digits than its factorization.

6397344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 331 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 6397344 is about 2529.2971355695. The cubic root of 6397344 is about 185.6378663326.

The spelling of 6397344 in words is "six million, three hundred ninety-seven thousand, three hundred forty-four".