3396896 has 48 divisors (see below), whose sum is σ = 7277760. Its totient is φ = 1555200.

The previous prime is 3396829. The next prime is 3396917. The reversal of 3396896 is 6986933.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22421 + ... + 22571.

It is an arithmetic number, because the mean of its divisors is an integer number (151620).

Almost surely, 2^3396896 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 3396896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638880).

3396896 is an abundant number, since it is smaller than the sum of its proper divisors (3880864).

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

3396896 is a wasteful number, since it uses less digits than its factorization.

3396896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its digits is 209952, while the sum is 44.

The square root of 3396896 is about 1843.0670090911. The cubic root of 3396896 is about 150.3236861977.

The spelling of 3396896 in words is "three million, three hundred ninety-six thousand, eight hundred ninety-six".