3904884093 has 32 divisors (see below), whose sum is σ = 5889687552. Its totient is φ = 2279851200.

The previous prime is 3904884079. The next prime is 3904884097.

3904884093 is nontrivially palindromic in base 10.

3904884093 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3904884093 - 2¹⁰ = 3904883069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3904884097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219571 + ... + 236687.

It is an arithmetic number, because the mean of its divisors is an integer number (184052736).

Almost surely, 2^3904884093 is an apocalyptic number.

3904884093 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3904884093 is a deficient number, since it is larger than the sum of its proper divisors (1984803459).

3904884093 is a wasteful number, since it uses less digits than its factorization.

3904884093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17385.

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 3904884093 is about 62489.0717885936. The cubic root of 3904884093 is about 1574.7177245704.

The spelling of 3904884093 in words is "three billion, nine hundred four million, eight hundred eighty-four thousand, ninety-three".