3305958561 has 12 divisors (see below), whose sum is σ = 5026603920. Its totient is φ = 2087973720.

The previous prime is 3305958541. The next prime is 3305958569. The reversal of 3305958561 is 1658595033.

3305958561 is a `hidden beast` number, since 3 + 3 + 0 + 5 + 9 + 585 + 61 = 666.

It is not a de Polignac number, because 3305958561 - 2⁵ = 3305958529 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3305958569) 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, 9666375 + ... + 9666716.

It is an arithmetic number, because the mean of its divisors is an integer number (418883660).

Almost surely, 2^3305958561 is an apocalyptic number.

It is an amenable number.

3305958561 is a deficient number, since it is larger than the sum of its proper divisors (1720645359).

3305958561 is a wasteful number, since it uses less digits than its factorization.

3305958561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19333116 (or 19333113 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 3305958561 is about 57497.4656919764. The cubic root of 3305958561 is about 1489.7010887860.

The spelling of 3305958561 in words is "three billion, three hundred five million, nine hundred fifty-eight thousand, five hundred sixty-one".