3905000096 has 96 divisors (see below), whose sum is σ = 8337893760. Its totient is φ = 1793581056.

The previous prime is 3905000093. The next prime is 3905000107. The reversal of 3905000096 is 6900005093.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3905000093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4248725 + ... + 4249643.

It is an arithmetic number, because the mean of its divisors is an integer number (86853060).

Almost surely, 2^3905000096 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 3905000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168946880).

3905000096 is an abundant number, since it is smaller than the sum of its proper divisors (4432893664).

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

3905000096 is a wasteful number, since it uses less digits than its factorization.

3905000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 3905000096 is about 62489.9999679949. Note that the first 4 decimals coincide. The cubic root of 3905000096 is about 1574.7333178776.

3905000096 divided by its sum of digits (32) gives a triangular number (122031253 = T₁₅₆₂₂).

The spelling of 3905000096 in words is "three billion, nine hundred five million, ninety-six", and thus it is an aban number.