3832442120 has 128 divisors (see below), whose sum is σ = 9936864000. Its totient is φ = 1318394880.

The previous prime is 3832442027. The next prime is 3832442147. The reversal of 3832442120 is 212442383.

It is a super-2 number, since 2×3832442120² = 29375225206300188800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599501 + ... + 605859.

It is an arithmetic number, because the mean of its divisors is an integer number (77631750).

Almost surely, 2^3832442120 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 3832442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968432000).

3832442120 is an abundant number, since it is smaller than the sum of its proper divisors (6104421880).

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

3832442120 is a wasteful number, since it uses less digits than its factorization.

3832442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 3832442120 is about 61906.7211213774. The cubic root of 3832442120 is about 1564.9190171326.

The spelling of 3832442120 in words is "three billion, eight hundred thirty-two million, four hundred forty-two thousand, one hundred twenty".