3403904 has 64 divisors (see below), whose sum is σ = 8078400. Its totient is φ = 1397760.

The previous prime is 3403903. The next prime is 3403919. The reversal of 3403904 is 4093043.

3403904 = T₇₂ + T₇₃ + ... + T₂₇₄.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3403904.

It is not an unprimeable number, because it can be changed into a prime (3403901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25919 + ... + 26049.

It is an arithmetic number, because the mean of its divisors is an integer number (126225).

Almost surely, 2^3403904 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 3403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039200).

3403904 is an abundant number, since it is smaller than the sum of its proper divisors (4674496).

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

3403904 is a wasteful number, since it uses less digits than its factorization.

3403904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 3403904 is about 1844.9672083807. The cubic root of 3403904 is about 150.4269907799.

Adding to 3403904 its reverse (4093043), we get a palindrome (7496947).

The spelling of 3403904 in words is "three million, four hundred three thousand, nine hundred four".