3383680 has 64 divisors (see below), whose sum is σ = 8592480. Its totient is φ = 1269760.

The previous prime is 3383669. The next prime is 3383683. The reversal of 3383680 is 863833.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3383680² = 22898580684800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3383683) 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, 10725 + ... + 11035.

Almost surely, 2^3383680 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 3383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296240).

3383680 is an abundant number, since it is smaller than the sum of its proper divisors (5208800).

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

3383680 is a wasteful number, since it uses less digits than its factorization.

3383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 3383680 is about 1839.4781868780. The cubic root of 3383680 is about 150.1284825095.

The spelling of 3383680 in words is "three million, three hundred eighty-three thousand, six hundred eighty".