3831120 has 120 divisors (see below), whose sum is σ = 13666536. Its totient is φ = 958464.

The previous prime is 3831119. The next prime is 3831131. The reversal of 3831120 is 211383.

3831120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 3779136 = 228^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3831093 and 3831102.

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 23 ways as a sum of consecutive naturals, for example, 12084 + ... + 12396.

Almost surely, 2^3831120 is an apocalyptic number.

3831120 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 3831120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833268).

3831120 is an abundant number, since it is smaller than the sum of its proper divisors (9835416).

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

3831120 is a wasteful number, since it uses less digits than its factorization.

3831120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3831120 is about 1957.3247047948. The cubic root of 3831120 is about 156.4739040620.

The spelling of 3831120 in words is "three million, eight hundred thirty-one thousand, one hundred twenty".