3393680 has 40 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 1332608.

The previous prime is 3393671. The next prime is 3393683. The reversal of 3393680 is 863933.

It is a happy number.

3393680 is digitally balanced in base 5, 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 an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3393683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4361 + ... + 5079.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

Almost surely, 2^3393680 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 3393680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

3393680 is an abundant number, since it is smaller than the sum of its proper divisors (4641520).

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

3393680 is a wasteful number, since it uses less digits than its factorization.

3393680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

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

The square root of 3393680 is about 1842.1943437108. The cubic root of 3393680 is about 150.2762317353.

The spelling of 3393680 in words is "three million, three hundred ninety-three thousand, six hundred eighty".