3378336 has 48 divisors (see below), whose sum is σ = 9553824. Its totient is φ = 1039104.

The previous prime is 3378329. The next prime is 3378337. The reversal of 3378336 is 6338733.

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

It is a super-2 number, since 2×3378336² = 22826308257792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3378297 and 3378306.

It is not an unprimeable number, because it can be changed into a prime (3378337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 2601.

It is an arithmetic number, because the mean of its divisors is an integer number (199038).

Almost surely, 2^3378336 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 3378336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776912).

3378336 is an abundant number, since it is smaller than the sum of its proper divisors (6175488).

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

3378336 is a wasteful number, since it uses less digits than its factorization.

3378336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2725 counting only the distinct ones).

The product of its digits is 27216, while the sum is 33.

The square root of 3378336 is about 1838.0250270331. The cubic root of 3378336 is about 150.0494059475.

The spelling of 3378336 in words is "three million, three hundred seventy-eight thousand, three hundred thirty-six".