3830133328 has 80 divisors (see below), whose sum is σ = 9135415296. Its totient is φ = 1519436160.

The previous prime is 3830133313. The next prime is 3830133341. The reversal of 3830133328 is 8233310383.

It is a junction number, because it is equal to n+sod(n) for n = 3830133293 and 3830133302.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 55875 + ... + 103837.

Almost surely, 2^3830133328 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 3830133328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567707648).

3830133328 is an abundant number, since it is smaller than the sum of its proper divisors (5305281968).

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

3830133328 is a wasteful number, since it uses less digits than its factorization.

3830133328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48032 (or 48026 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 3830133328 is about 61888.0709668673. The cubic root of 3830133328 is about 1564.6047007270.

The spelling of 3830133328 in words is "three billion, eight hundred thirty million, one hundred thirty-three thousand, three hundred twenty-eight".