3386680 has 64 divisors (see below), whose sum is σ = 8553600. Its totient is φ = 1196160.

The previous prime is 3386671. The next prime is 3386683. The reversal of 3386680 is 866833.

It is a super-2 number, since 2×3386680² = 22939202844800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18831 + ... + 19009.

It is an arithmetic number, because the mean of its divisors is an integer number (133650).

Almost surely, 2^3386680 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 3386680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276800).

3386680 is an abundant number, since it is smaller than the sum of its proper divisors (5166920).

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

3386680 is a wasteful number, since it uses less digits than its factorization.

3386680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3386680 is about 1840.2934548598. The cubic root of 3386680 is about 150.1728378078.

It can be divided in two parts, 3 and 386680, that added together give a palindrome (386683).

The spelling of 3386680 in words is "three million, three hundred eighty-six thousand, six hundred eighty".