3347904 has 112 divisors (see below), whose sum is σ = 10533888. Its totient is φ = 918528.

The previous prime is 3347893. The next prime is 3347909. The reversal of 3347904 is 4097433.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3347904² = 22416922386432, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3347909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63142 + ... + 63194.

Almost surely, 2^3347904 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 3347904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266944).

3347904 is an abundant number, since it is smaller than the sum of its proper divisors (7185984).

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

3347904 is a wasteful number, since it uses less digits than its factorization.

3347904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3347904 is about 1829.7278486157. The cubic root of 3347904 is about 149.5974986952.

The spelling of 3347904 in words is "three million, three hundred forty-seven thousand, nine hundred four".