3836643328 has 192 divisors, whose sum is σ = 9246182400. Its totient is φ = 1557135360.

The previous prime is 3836643287. The next prime is 3836643337. The reversal of 3836643328 is 8233466383.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39552976 + ... + 39553072.

It is an arithmetic number, because the mean of its divisors is an integer number (48157200).

Almost surely, 2^3836643328 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 3836643328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623091200).

3836643328 is an abundant number, since it is smaller than the sum of its proper divisors (5409539072).

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

3836643328 is an equidigital number, since it uses as much as digits as its factorization.

3836643328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 46.

The square root of 3836643328 is about 61940.6435872279. The cubic root of 3836643328 is about 1565.4906412790.

The spelling of 3836643328 in words is "three billion, eight hundred thirty-six million, six hundred forty-three thousand, three hundred twenty-eight".