3385856 has 40 divisors (see below), whose sum is σ = 7181460. Its totient is φ = 1589248.

The previous prime is 3385847. The next prime is 3385859. The reversal of 3385856 is 6585833.

It can be written as a sum of positive squares in 2 ways, for example, as 3385600 + 256 = 1840^2 + 16^2 .

It is a super-2 number, since 2×3385856² = 22928041705472, which contains 22 as substring.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3385859) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8510 + ... + 8898.

Almost surely, 2^3385856 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 3385856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590730).

3385856 is an abundant number, since it is smaller than the sum of its proper divisors (3795604).

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

3385856 is an equidigital number, since it uses as much as digits as its factorization.

3385856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 408 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 3385856 is about 1840.0695639024. The cubic root of 3385856 is about 150.1606574960.

The spelling of 3385856 in words is "three million, three hundred eighty-five thousand, eight hundred fifty-six".