3821936688 has 120 divisors (see below), whose sum is σ = 11015440800. Its totient is φ = 1236280320.

The previous prime is 3821936687. The next prime is 3821936717. The reversal of 3821936688 is 8866391283.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3821936687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1173270 + ... + 1176522.

It is an arithmetic number, because the mean of its divisors is an integer number (91795340).

Almost surely, 2^3821936688 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 3821936688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507720400).

3821936688 is an abundant number, since it is smaller than the sum of its proper divisors (7193504112).

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

3821936688 is a wasteful number, since it uses less digits than its factorization.

3821936688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3498 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 3821936688 is about 61821.8140141488. The cubic root of 3821936688 is about 1563.4877978601.

The spelling of 3821936688 in words is "three billion, eight hundred twenty-one million, nine hundred thirty-six thousand, six hundred eighty-eight".