6829344 has 72 divisors (see below), whose sum is σ = 20284992. Its totient is φ = 2175360.

The previous prime is 6829337. The next prime is 6829351. The reversal of 6829344 is 4439286.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6829337) and next prime (6829351).

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 nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 6² + 8⁷ + 2⁷ + 9⁶ + 3⁷ + 4⁶ + 4¹¹ .

It is a junction number, because it is equal to n+sod(n) for n = 6829299 and 6829308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6109 + ... + 7139.

It is an arithmetic number, because the mean of its divisors is an integer number (281736).

Almost surely, 2^6829344 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 6829344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10142496).

6829344 is an abundant number, since it is smaller than the sum of its proper divisors (13455648).

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

6829344 is a wasteful number, since it uses less digits than its factorization.

6829344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1059 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 6829344 is about 2613.3013603486. The cubic root of 6829344 is about 189.7257724487.

The spelling of 6829344 in words is "six million, eight hundred twenty-nine thousand, three hundred forty-four".