3381680 has 40 divisors (see below), whose sum is σ = 8061984. Its totient is φ = 1318400.

The previous prime is 3381673. The next prime is 3381683. The reversal of 3381680 is 861833.

3381680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3381680² = 22871519244800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3381683) 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, 2765 + ... + 3795.

Almost surely, 2^3381680 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 3381680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030992).

3381680 is an abundant number, since it is smaller than the sum of its proper divisors (4680304).

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

3381680 is a wasteful number, since it uses less digits than its factorization.

3381680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 3381680 is about 1838.9344740909. The cubic root of 3381680 is about 150.0988977435.

The spelling of 3381680 in words is "three million, three hundred eighty-one thousand, six hundred eighty".