3386768 has 40 divisors (see below), whose sum is σ = 8184000. Its totient is φ = 1319040.

The previous prime is 3386767. The next prime is 3386797. The reversal of 3386768 is 8676833.

3386768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3386768² = 22940394971648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3386767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143 + ... + 2606.

It is an arithmetic number, because the mean of its divisors is an integer number (204600).

Almost surely, 2^3386768 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 3386768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092000).

3386768 is an abundant number, since it is smaller than the sum of its proper divisors (4797232).

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

3386768 is a wasteful number, since it uses less digits than its factorization.

3386768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2769 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 3386768 is about 1840.3173639348. The cubic root of 3386768 is about 150.1741385011.

The spelling of 3386768 in words is "three million, three hundred eighty-six thousand, seven hundred sixty-eight".