3305344 has 96 divisors (see below), whose sum is σ = 8372160. Its totient is φ = 1290240.

The previous prime is 3305329. The next prime is 3305377. The reversal of 3305344 is 4435033.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106609 + ... + 106639.

It is an arithmetic number, because the mean of its divisors is an integer number (87210).

Almost surely, 2^3305344 is an apocalyptic number.

3305344 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 3305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186080).

3305344 is an abundant number, since it is smaller than the sum of its proper divisors (5066816).

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

3305344 is a wasteful number, since it uses less digits than its factorization.

3305344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 3305344 is about 1818.0605050438. The cubic root of 3305344 is about 148.9608773763.

The spelling of 3305344 in words is "three million, three hundred five thousand, three hundred forty-four".