3382416 has 60 divisors (see below), whose sum is σ = 9613968. Its totient is φ = 1109952.

The previous prime is 3382409. The next prime is 3382427. The reversal of 3382416 is 6142833.

It is a happy number.

It is a super-2 number, since 2×3382416² = 22881475994112, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3382416.

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, 11811 + ... + 12093.

Almost surely, 2^3382416 is an apocalyptic number.

3382416 is a gapful number since it is divisible by the number (36) 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 3382416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806984).

3382416 is an abundant number, since it is smaller than the sum of its proper divisors (6231552).

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

3382416 is a wasteful number, since it uses less digits than its factorization.

3382416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3382416 is about 1839.1345790888. The cubic root of 3382416 is about 150.1097862935.

The spelling of 3382416 in words is "three million, three hundred eighty-two thousand, four hundred sixteen".