3904041800 has 96 divisors (see below), whose sum is σ = 9265924800. Its totient is φ = 1529306880.

The previous prime is 3904041797. The next prime is 3904041811. The reversal of 3904041800 is 81404093.

3904041800 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 2×3904041800² = 30483084752294480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4400957 + ... + 4401843.

It is an arithmetic number, because the mean of its divisors is an integer number (96520050).

Almost surely, 2^3904041800 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 3904041800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632962400).

3904041800 is an abundant number, since it is smaller than the sum of its proper divisors (5361883000).

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

3904041800 is a wasteful number, since it uses less digits than its factorization.

3904041800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 3904041800 is about 62482.3319027067. The cubic root of 3904041800 is about 1574.6044929470.

Adding to 3904041800 its reverse (81404093), we get a palindrome (3985445893).

The spelling of 3904041800 in words is "three billion, nine hundred four million, forty-one thousand, eight hundred".