3831840 has 96 divisors (see below), whose sum is σ = 13426560. Its totient is φ = 1020672.

The previous prime is 3831827. The next prime is 3831871. The reversal of 3831840 is 481383.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3877 + ... + 4763.

It is an arithmetic number, because the mean of its divisors is an integer number (139860).

Almost surely, 2^3831840 is an apocalyptic number.

3831840 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 3831840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713280).

3831840 is an abundant number, since it is smaller than the sum of its proper divisors (9594720).

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

3831840 is a wasteful number, since it uses less digits than its factorization.

3831840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3831840 is about 1957.5086206707. The cubic root of 3831840 is about 156.4837057348.

It can be divided in two parts, 38 and 31840, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 3831840 in words is "three million, eight hundred thirty-one thousand, eight hundred forty".