3831933960 has 256 divisors, whose sum is σ = 13651545600. Its totient is φ = 952713216.

The previous prime is 3831933899. The next prime is 3831933983. The reversal of 3831933960 is 693391383.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2073757 + ... + 2075603.

It is an arithmetic number, because the mean of its divisors is an integer number (53326350).

Almost surely, 2^3831933960 is an apocalyptic number.

3831933960 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 3831933960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6825772800).

3831933960 is an abundant number, since it is smaller than the sum of its proper divisors (9819611640).

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

3831933960 is a wasteful number, since it uses less digits than its factorization.

3831933960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3831933960 is about 61902.6167459826. The cubic root of 3831933960 is about 1564.8498476254.

The spelling of 3831933960 in words is "three billion, eight hundred thirty-one million, nine hundred thirty-three thousand, nine hundred sixty".