3823811712 has 640 divisors, whose sum is σ = 14217984000. Its totient is φ = 995825664.

The previous prime is 3823811711. The next prime is 3823811729. The reversal of 3823811712 is 2171183283.

3823811712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (3823811711) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64810339 + ... + 64810397.

It is an arithmetic number, because the mean of its divisors is an integer number (22215600).

Almost surely, 2^3823811712 is an apocalyptic number.

3823811712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3823811712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108992000).

3823811712 is an abundant number, since it is smaller than the sum of its proper divisors (10394172288).

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

3823811712 is a wasteful number, since it uses less digits than its factorization.

3823811712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 3823811712 is about 61836.9768989397. The cubic root of 3823811712 is about 1563.7434359575.

Adding to 3823811712 its reverse (2171183283), we get a palindrome (5994994995).

The spelling of 3823811712 in words is "three billion, eight hundred twenty-three million, eight hundred eleven thousand, seven hundred twelve".