3306806256 has 160 divisors (see below), whose sum is σ = 9434396160. Its totient is φ = 991872000.

The previous prime is 3306806249. The next prime is 3306806257. The reversal of 3306806256 is 6526086033.

It is a happy number.

It is a super-2 number, since 2×3306806256² = 21869935229441475072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306806257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4474335 + ... + 4475073.

It is an arithmetic number, because the mean of its divisors is an integer number (58964976).

Almost surely, 2^3306806256 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 3306806256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717198080).

3306806256 is an abundant number, since it is smaller than the sum of its proper divisors (6127589904).

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

3306806256 is a wasteful number, since it uses less digits than its factorization.

3306806256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3306806256 is about 57504.8368052636. The cubic root of 3306806256 is about 1489.8284047845.

The spelling of 3306806256 in words is "three billion, three hundred six million, eight hundred six thousand, two hundred fifty-six".