3365856 has 144 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 967680.

The previous prime is 3365851. The next prime is 3365863. The reversal of 3365856 is 6585633.

3365856 is a nontrivial binomial coefficient, being equal to C(32, 7).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3365856² = 22657973225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3365856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108561 + ... + 108591.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

Almost surely, 2^3365856 is an apocalyptic number.

3365856 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 3365856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3365856 is an abundant number, since it is smaller than the sum of its proper divisors (7641504).

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

3365856 is a wasteful number, since it uses less digits than its factorization.

3365856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 3365856 is about 1834.6269375543. The cubic root of 3365856 is about 149.8644108074.

The spelling of 3365856 in words is "three million, three hundred sixty-five thousand, eight hundred fifty-six".