3385344 has 96 divisors (see below), whose sum is σ = 9828000. Its totient is φ = 1032192.

The previous prime is 3385339. The next prime is 3385357. The reversal of 3385344 is 4435833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3385344² = 22921107996672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116722 + ... + 116750.

It is an arithmetic number, because the mean of its divisors is an integer number (102375).

Almost surely, 2^3385344 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 3385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914000).

3385344 is an abundant number, since it is smaller than the sum of its proper divisors (6442656).

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

3385344 is a wasteful number, since it uses less digits than its factorization.

3385344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 3385344 is about 1839.9304334675. The cubic root of 3385344 is about 150.1530881514.

The spelling of 3385344 in words is "three million, three hundred eighty-five thousand, three hundred forty-four".