3831960 has 64 divisors (see below), whose sum is σ = 12545280. Its totient is φ = 928640.

The previous prime is 3831937. The next prime is 3832001. The reversal of 3831960 is 691383.

3831960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 132 + ... + 2771.

It is an arithmetic number, because the mean of its divisors is an integer number (196020).

Almost surely, 2^3831960 is an apocalyptic number.

3831960 is a gapful number since it is divisible by the number (30) 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 3831960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272640).

3831960 is an abundant number, since it is smaller than the sum of its proper divisors (8713320).

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

3831960 is a wasteful number, since it uses less digits than its factorization.

3831960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3831960 is about 1957.5392716367. The cubic root of 3831960 is about 156.4853392276.

The spelling of 3831960 in words is "three million, eight hundred thirty-one thousand, nine hundred sixty".