3467904 has 64 divisors (see below), whose sum is σ = 10061280. Its totient is φ = 1049600.

The previous prime is 3467869. The next prime is 3467909. The reversal of 3467904 is 4097643.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3467909) 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, 3814 + ... + 4634.

Almost surely, 2^3467904 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 3467904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030640).

3467904 is an abundant number, since it is smaller than the sum of its proper divisors (6593376).

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

3467904 is a wasteful number, since it uses less digits than its factorization.

3467904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3467904 is about 1862.2309201600. The cubic root of 3467904 is about 151.3639161843.

It can be divided in two parts, 3467 and 904, that added together give a triangular number (4371 = T₉₃).

The spelling of 3467904 in words is "three million, four hundred sixty-seven thousand, nine hundred four".