3831168 has 64 divisors (see below), whose sum is σ = 11113920. Its totient is φ = 1159680.

The previous prime is 3831167. The next prime is 3831169. The reversal of 3831168 is 8611383.

It is an interprime number because it is at equal distance from previous prime (3831167) and next prime (3831169).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3831167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3771 + ... + 4677.

It is an arithmetic number, because the mean of its divisors is an integer number (173655).

Almost surely, 2^3831168 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 3831168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556960).

3831168 is an abundant number, since it is smaller than the sum of its proper divisors (7282752).

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

3831168 is a wasteful number, since it uses less digits than its factorization.

3831168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 923 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 3831168 is about 1957.3369663908. The cubic root of 3831168 is about 156.4745575451.

It can be divided in two parts, 383 and 1168, that added together give a palindrome (1551).

The spelling of 3831168 in words is "three million, eight hundred thirty-one thousand, one hundred sixty-eight".