3904100 has 18 divisors (see below), whose sum is σ = 8472114. Its totient is φ = 1561600.

The previous prime is 3904081. The next prime is 3904111. The reversal of 3904100 is 14093.

3904100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 952576 + 2951524 = 976^2 + 1718^2 .

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19421 + ... + 19620.

It is an arithmetic number, because the mean of its divisors is an integer number (470673).

Almost surely, 2^3904100 is an apocalyptic number.

It is an amenable number.

3904100 is an abundant number, since it is smaller than the sum of its proper divisors (4568014).

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

3904100 is a wasteful number, since it uses less digits than its factorization.

3904100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39055 (or 39048 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3904100 is about 1975.8795509848. The cubic root of 3904100 is about 157.4612317447.

Adding to 3904100 its reverse (14093), we get a palindrome (3918193).

It can be divided in two parts, 3904 and 100, that added together give a palindrome (4004).

The spelling of 3904100 in words is "three million, nine hundred four thousand, one hundred".