3863241312 has 96 divisors (see below), whose sum is σ = 11627384832. Its totient is φ = 1100196864.

The previous prime is 3863241311. The next prime is 3863241323. The reversal of 3863241312 is 2131423683.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3863241311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201153 + ... + 219519.

It is an arithmetic number, because the mean of its divisors is an integer number (121118592).

Almost surely, 2^3863241312 is an apocalyptic number.

3863241312 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 3863241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5813692416).

3863241312 is an abundant number, since it is smaller than the sum of its proper divisors (7764143520).

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

3863241312 is a wasteful number, since it uses less digits than its factorization.

3863241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18700 (or 18692 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3863241312 is about 62154.9781755251. The cubic root of 3863241312 is about 1569.0999631245.

Adding to 3863241312 its reverse (2131423683), we get a palindrome (5994664995).

The spelling of 3863241312 in words is "three billion, eight hundred sixty-three million, two hundred forty-one thousand, three hundred twelve".