3830083504 has 60 divisors (see below), whose sum is σ = 8053118496. Its totient is φ = 1763863296.

The previous prime is 3830083469. The next prime is 3830083513. The reversal of 3830083504 is 4053800383.

3830083504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3830083504² = 29339079295225836032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3830083504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1504857 + ... + 1507399.

Almost surely, 2^3830083504 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 3830083504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026559248).

3830083504 is an abundant number, since it is smaller than the sum of its proper divisors (4223034992).

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

3830083504 is a wasteful number, since it uses less digits than its factorization.

3830083504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 3830083504 is about 61887.6684324107. The cubic root of 3830083504 is about 1564.5979163502.

Adding to 3830083504 its reverse (4053800383), we get a palindrome (7883883887).

The spelling of 3830083504 in words is "three billion, eight hundred thirty million, eighty-three thousand, five hundred four".