3385312 has 72 divisors (see below), whose sum is σ = 8273664. Its totient is φ = 1354752.

The previous prime is 3385303. The next prime is 3385313. The reversal of 3385312 is 2135833.

It is a super-2 number, since 2×3385312² = 22920674674688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26593 + ... + 26719.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

Almost surely, 2^3385312 is an apocalyptic number.

3385312 is a gapful number since it is divisible by the number (32) 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 3385312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136832).

3385312 is an abundant number, since it is smaller than the sum of its proper divisors (4888352).

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

3385312 is a wasteful number, since it uses less digits than its factorization.

3385312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 3385312 is about 1839.9217374660. The cubic root of 3385312 is about 150.1526150420.

The spelling of 3385312 in words is "three million, three hundred eighty-five thousand, three hundred twelve".