3306005736 has 64 divisors (see below), whose sum is σ = 9021542400. Its totient is φ = 1001246400.

The previous prime is 3306005711. The next prime is 3306005737. The reversal of 3306005736 is 6375006033.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3306005697 and 3306005706.

It is not an unprimeable number, because it can be changed into a prime (3306005737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792825 + ... + 796983.

It is an arithmetic number, because the mean of its divisors is an integer number (140961600).

Almost surely, 2^3306005736 is an apocalyptic number.

It is an amenable number.

3306005736 is an abundant number, since it is smaller than the sum of its proper divisors (5715536664).

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

3306005736 is a wasteful number, since it uses less digits than its factorization.

3306005736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7190 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 33.

The square root of 3306005736 is about 57497.8759259853. The cubic root of 3306005736 is about 1489.7081746093.

The spelling of 3306005736 in words is "three billion, three hundred six million, five thousand, seven hundred thirty-six".