3831806880 has 144 divisors (see below), whose sum is σ = 14264830944. Its totient is φ = 928919040.

The previous prime is 3831806873. The next prime is 3831806887. The reversal of 3831806880 is 886081383.

It is an interprime number because it is at equal distance from previous prime (3831806873) and next prime (3831806887).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3831806887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105114 + ... + 136793.

It is an arithmetic number, because the mean of its divisors is an integer number (99061326).

Almost surely, 2^3831806880 is an apocalyptic number.

3831806880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3831806880 is an abundant number, since it is smaller than the sum of its proper divisors (10433024064).

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

3831806880 is a wasteful number, since it uses less digits than its factorization.

3831806880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241939 (or 241928 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3831806880 is about 61901.5902865185. The cubic root of 3831806880 is about 1564.8325488481.

The spelling of 3831806880 in words is "three billion, eight hundred thirty-one million, eight hundred six thousand, eight hundred eighty".