3363980 has 48 divisors (see below), whose sum is σ = 7547904. Its totient is φ = 1256640.

The previous prime is 3363979. The next prime is 3364037. The reversal of 3363980 is 893633.

It is a happy number.

It is a super-2 number, since 2×3363980² = 22632722880800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32609 + ... + 32711.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

Almost surely, 2^3363980 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 3363980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952).

3363980 is an abundant number, since it is smaller than the sum of its proper divisors (4183924).

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

3363980 is a wasteful number, since it uses less digits than its factorization.

3363980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 3363980 is about 1834.1155906867. The cubic root of 3363980 is about 149.8365627271.

The spelling of 3363980 in words is "three million, three hundred sixty-three thousand, nine hundred eighty".