6344000 has 112 divisors (see below), whose sum is σ = 17196816. Its totient is φ = 2304000.

The previous prime is 6343993. The next prime is 6344003. The reversal of 6344000 is 4436.

It can be written as a sum of positive squares in 8 ways, for example, as 5053504 + 1290496 = 2248^2 + 1136^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6344000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6344003) 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, 103970 + ... + 104030.

It is an arithmetic number, because the mean of its divisors is an integer number (153543).

Almost surely, 2^6344000 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 6344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598408).

6344000 is an abundant number, since it is smaller than the sum of its proper divisors (10852816).

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

6344000 is a wasteful number, since it uses less digits than its factorization.

6344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 6344000 is about 2518.7298386290. The cubic root of 6344000 is about 185.1204474949.

Adding to 6344000 its reverse (4436), we get a palindrome (6348436).

The spelling of 6344000 in words is "six million, three hundred forty-four thousand".