3306209536 has 108 divisors (see below), whose sum is σ = 7823395692. Its totient is φ = 1389932544.

The previous prime is 3306209519. The next prime is 3306209539. The reversal of 3306209536 is 6359026033.

It can be written as a sum of positive squares in 2 ways, for example, as 2265760000 + 1040449536 = 47600^2 + 32256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3306209495 and 3306209504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306209539) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 662346 + ... + 667318.

It is an arithmetic number, because the mean of its divisors is an integer number (72438849).

Almost surely, 2^3306209536 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 3306209536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911697846).

3306209536 is an abundant number, since it is smaller than the sum of its proper divisors (4517186156).

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

3306209536 is an equidigital number, since it uses as much as digits as its factorization.

3306209536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 37.

The square root of 3306209536 is about 57499.6481380539. The cubic root of 3306209536 is about 1489.7387851922.

The spelling of 3306209536 in words is "three billion, three hundred six million, two hundred nine thousand, five hundred thirty-six".