3385824 has 48 divisors (see below), whose sum is σ = 9574992. Its totient is φ = 1041408.

The previous prime is 3385817. The next prime is 3385829. The reversal of 3385824 is 4285833.

3385824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3385824² = 22927608317952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109 + ... + 2604.

It is an arithmetic number, because the mean of its divisors is an integer number (199479).

Almost surely, 2^3385824 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 3385824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787496).

3385824 is an abundant number, since it is smaller than the sum of its proper divisors (6189168).

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

3385824 is a wasteful number, since it uses less digits than its factorization.

3385824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2731 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 3385824 is about 1840.0608685584. The cubic root of 3385824 is about 150.1601844343.

Subtracting 3385824 from its reverse (4285833), we obtain a palindrome (900009).

The spelling of 3385824 in words is "three million, three hundred eighty-five thousand, eight hundred twenty-four".