3831941120 has 192 divisors, whose sum is σ = 10732176000. Its totient is φ = 1312604160.

The previous prime is 3831941077. The next prime is 3831941123. The reversal of 3831941120 is 211491383.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3831941123) by changing a digit.

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, 3511775 + ... + 3512865.

It is an arithmetic number, because the mean of its divisors is an integer number (55896750).

Almost surely, 2^3831941120 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 3831941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366088000).

3831941120 is an abundant number, since it is smaller than the sum of its proper divisors (6900234880).

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

3831941120 is an equidigital number, since it uses as much as digits as its factorization.

3831941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 3831941120 is about 61902.6745787288. The cubic root of 3831941120 is about 1564.8508222697.

The spelling of 3831941120 in words is "three billion, eight hundred thirty-one million, nine hundred forty-one thousand, one hundred twenty".