3383688 has 64 divisors (see below), whose sum is σ = 10552320. Its totient is φ = 878400.

The previous prime is 3383683. The next prime is 3383693. The reversal of 3383688 is 8863833.

It is an interprime number because it is at equal distance from previous prime (3383683) and next prime (3383693).

It is a super-2 number, since 2×3383688² = 22898688962688, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 933 + ... + 2763.

It is an arithmetic number, because the mean of its divisors is an integer number (164880).

Almost surely, 2^3383688 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 3383688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276160).

3383688 is an abundant number, since it is smaller than the sum of its proper divisors (7168632).

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

3383688 is a wasteful number, since it uses less digits than its factorization.

3383688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1854 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 3383688 is about 1839.4803614064. The cubic root of 3383688 is about 150.1286008251.

The spelling of 3383688 in words is "three million, three hundred eighty-three thousand, six hundred eighty-eight".