3381312 has 56 divisors (see below), whose sum is σ = 9765792. Its totient is φ = 1024000.

The previous prime is 3381281. The next prime is 3381331. The reversal of 3381312 is 2131833.

It is a happy number.

It is a super-2 number, since 2×3381312² = 22866541682688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1312 + ... + 2912.

Almost surely, 2^3381312 is an apocalyptic number.

3381312 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 3381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882896).

3381312 is an abundant number, since it is smaller than the sum of its proper divisors (6384480).

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

3381312 is a wasteful number, since it uses less digits than its factorization.

3381312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1617 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 3381312 is about 1838.8344134261. The cubic root of 3381312 is about 150.0934528761.

The spelling of 3381312 in words is "three million, three hundred eighty-one thousand, three hundred twelve".