6338825000 has 48 divisors (see below), whose sum is σ = 14855728860. Its totient is φ = 2535520000.

The previous prime is 6338824991. The next prime is 6338825023. The reversal of 6338825000 is 5288336.

It can be written as a sum of positive squares in 6 ways, for example, as 299359204 + 6039465796 = 17302^2 + 77714^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101777 + ... + 151776.

Almost surely, 2^6338825000 is an apocalyptic number.

It is an amenable number.

6338825000 is an abundant number, since it is smaller than the sum of its proper divisors (8516903860).

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

6338825000 is an equidigital number, since it uses as much as digits as its factorization.

6338825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253584 (or 253560 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 6338825000 is about 79616.7381899058. The cubic root of 6338825000 is about 1850.7009761447.

It can be divided in two parts, 63388 and 25000, that added together give a palindrome (88388).

The spelling of 6338825000 in words is "six billion, three hundred thirty-eight million, eight hundred twenty-five thousand".