3381966 has 64 divisors (see below), whose sum is σ = 8985600. Its totient is φ = 921888.

The previous prime is 3381923. The next prime is 3381971. The reversal of 3381966 is 6691833.

It is a happy number.

It is a super-2 number, since 2×3381966² = 22875388050312, which contains 22 as substring.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3381966.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8500 + ... + 8888.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 2^3381966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3381966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492800).

3381966 is an abundant number, since it is smaller than the sum of its proper divisors (5603634).

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

3381966 is a wasteful number, since it uses less digits than its factorization.

3381966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3381966 is about 1839.0122348696. The cubic root of 3381966 is about 150.1031290797.

It can be divided in two parts, 338 and 1966, that added together give a square (2304 = 48²).

The spelling of 3381966 in words is "three million, three hundred eighty-one thousand, nine hundred sixty-six".