6838400 has 48 divisors (see below), whose sum is σ = 16900890. Its totient is φ = 2734080.

The previous prime is 6838399. The next prime is 6838411. The reversal of 6838400 is 48386.

It can be written as a sum of positive squares in 3 ways, for example, as 3182656 + 3655744 = 1784^2 + 1912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2132 + ... + 4268.

Almost surely, 2^6838400 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 6838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8450445).

6838400 is an abundant number, since it is smaller than the sum of its proper divisors (10062490).

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

6838400 is a wasteful number, since it uses less digits than its factorization.

6838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 6838400 is about 2615.0334605890. The cubic root of 6838400 is about 189.8095968836.

The spelling of 6838400 in words is "six million, eight hundred thirty-eight thousand, four hundred".