3388896 has 108 divisors (see below), whose sum is σ = 11289096. Its totient is φ = 944640.

The previous prime is 3388877. The next prime is 3388907. The reversal of 3388896 is 6988833.

It is a super-2 number, since 2×3388896² = 22969232197632, 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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82636 + ... + 82676.

Almost surely, 2^3388896 is an apocalyptic number.

3388896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3388896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644548).

3388896 is an abundant number, since it is smaller than the sum of its proper divisors (7900200).

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

3388896 is a wasteful number, since it uses less digits than its factorization.

3388896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 53 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3388896 is about 1840.8954342928. The cubic root of 3388896 is about 150.2055847706.

The spelling of 3388896 in words is "three million, three hundred eighty-eight thousand, eight hundred ninety-six".