3479904 has 72 divisors (see below), whose sum is σ = 10162152. Its totient is φ = 1128960.

The previous prime is 3479899. The next prime is 3479909. The reversal of 3479904 is 4099743.

It is an interprime number because it is at equal distance from previous prime (3479899) and next prime (3479909).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3479909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12244 + ... + 12524.

It is an arithmetic number, because the mean of its divisors is an integer number (141141).

Almost surely, 2^3479904 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 3479904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081076).

3479904 is an abundant number, since it is smaller than the sum of its proper divisors (6682248).

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

3479904 is a wasteful number, since it uses less digits than its factorization.

3479904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3479904 is about 1865.4500797395. The cubic root of 3479904 is about 151.5383035522.

The spelling of 3479904 in words is "three million, four hundred seventy-nine thousand, nine hundred four".