3933859104 has 144 divisors (see below), whose sum is σ = 13458070080. Its totient is φ = 1064793600.

The previous prime is 3933859099. The next prime is 3933859117. The reversal of 3933859104 is 4019583393.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3933859104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13047 + ... + 89654.

It is an arithmetic number, because the mean of its divisors is an integer number (93458820).

Almost surely, 2^3933859104 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 3933859104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729035040).

3933859104 is an abundant number, since it is smaller than the sum of its proper divisors (9524210976).

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

3933859104 is a wasteful number, since it uses less digits than its factorization.

3933859104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102743 (or 102732 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3933859104 is about 62720.4839267045. The cubic root of 3933859104 is about 1578.6030359151.

The spelling of 3933859104 in words is "three billion, nine hundred thirty-three million, eight hundred fifty-nine thousand, one hundred four".