3401904 has 80 divisors (see below), whose sum is σ = 10177920. Its totient is φ = 967680.

The previous prime is 3401899. The next prime is 3401917. The reversal of 3401904 is 4091043.

3401904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 8787 + ... + 9165.

It is an arithmetic number, because the mean of its divisors is an integer number (127224).

Almost surely, 2^3401904 is an apocalyptic number.

3401904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088960).

3401904 is an abundant number, since it is smaller than the sum of its proper divisors (6776016).

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

3401904 is a wasteful number, since it uses less digits than its factorization.

3401904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3401904 is about 1844.4251136872. The cubic root of 3401904 is about 150.3975233484.

Adding to 3401904 its reverse (4091043), we get a palindrome (7492947).

The spelling of 3401904 in words is "three million, four hundred one thousand, nine hundred four".