3386688 has 56 divisors (see below), whose sum is σ = 9265920. Its totient is φ = 1090560.

The previous prime is 3386683. The next prime is 3386711. The reversal of 3386688 is 8866833.

3386688 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×3386688² = 22939311218688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 5668 + ... + 6236.

Almost surely, 2^3386688 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 3386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632960).

3386688 is an abundant number, since it is smaller than the sum of its proper divisors (5879232).

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

3386688 is a wasteful number, since it uses less digits than its factorization.

3386688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 605 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 3386688 is about 1840.2956284250. The cubic root of 3386688 is about 150.1729560536.

The spelling of 3386688 in words is "three million, three hundred eighty-six thousand, six hundred eighty-eight".