3371968 has 56 divisors (see below), whose sum is σ = 7315200. Its totient is φ = 1536768.

The previous prime is 3371947. The next prime is 3371969. The reversal of 3371968 is 8691733.

3371968 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 2×3371968² = 22740336386048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3371969) 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, 57123 + ... + 57181.

Almost surely, 2^3371968 is an apocalyptic number.

3371968 is a gapful number since it is divisible by the number (38) 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 3371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657600).

3371968 is an abundant number, since it is smaller than the sum of its proper divisors (3943232).

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

3371968 is a wasteful number, since it uses less digits than its factorization.

3371968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 3371968 is about 1836.2919157912. The cubic root of 3371968 is about 149.9550680236.

The spelling of 3371968 in words is "three million, three hundred seventy-one thousand, nine hundred sixty-eight".