3328416 has 144 divisors (see below), whose sum is σ = 11741184. Its totient is φ = 870912.

The previous prime is 3328411. The next prime is 3328427. The reversal of 3328416 is 6148233.

3328416 = 75³ + 76³ + ... + 81³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3328416² = 22156706138112, 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 3328416.

It is not an unprimeable number, because it can be changed into a prime (3328411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26145 + ... + 26271.

It is an arithmetic number, because the mean of its divisors is an integer number (81536).

Almost surely, 2^3328416 is an apocalyptic number.

3328416 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 3328416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870592).

3328416 is an abundant number, since it is smaller than the sum of its proper divisors (8412768).

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

3328416 is a wasteful number, since it uses less digits than its factorization.

3328416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

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

The square root of 3328416 is about 1824.3946941383. The cubic root of 3328416 is about 149.3066668654.

The spelling of 3328416 in words is "three million, three hundred twenty-eight thousand, four hundred sixteen".