3904600 has 48 divisors (see below), whose sum is σ = 10378800. Its totient is φ = 1338240.

The previous prime is 3904597. The next prime is 3904603. The reversal of 3904600 is 64093.

3904600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3904597) and next prime (3904603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3904603) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6 + ... + 2794.

It is an arithmetic number, because the mean of its divisors is an integer number (216225).

Almost surely, 2^3904600 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 3904600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189400).

3904600 is an abundant number, since it is smaller than the sum of its proper divisors (6474200).

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

3904600 is a wasteful number, since it uses less digits than its factorization.

3904600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 3904600 is about 1976.0060728652. The cubic root of 3904600 is about 157.4679535035.

Adding to 3904600 its reverse (64093), we get a palindrome (3968693).

The spelling of 3904600 in words is "three million, nine hundred four thousand, six hundred".