3300002361 has 12 divisors (see below), whose sum is σ = 4895499492. Its totient is φ = 2140541856.

The previous prime is 3300002353. The next prime is 3300002369. The reversal of 3300002361 is 1632000033.

It is a happy number.

3300002361 is a `hidden beast` number, since 3 + 300 + 0 + 0 + 2 + 361 = 666.

It is an interprime number because it is at equal distance from previous prime (3300002353) and next prime (3300002369).

It can be written as a sum of positive squares in 2 ways, for example, as 2968070400 + 331931961 = 54480^2 + 18219^2 .

It is not a de Polignac number, because 3300002361 - 2³ = 3300002353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3300002369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4954626 + ... + 4955291.

It is an arithmetic number, because the mean of its divisors is an integer number (407958291).

Almost surely, 2^3300002361 is an apocalyptic number.

It is an amenable number.

3300002361 is a deficient number, since it is larger than the sum of its proper divisors (1595497131).

3300002361 is a wasteful number, since it uses less digits than its factorization.

3300002361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9909960 (or 9909957 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3300002361 is about 57445.6470152439. The cubic root of 3300002361 is about 1488.8059080113.

Adding to 3300002361 its reverse (1632000033), we get a palindrome (4932002394).

The spelling of 3300002361 in words is "three billion, three hundred million, two thousand, three hundred sixty-one".