3305623041 has 96 divisors (see below), whose sum is σ = 5816918016. Its totient is φ = 1837080000.

The previous prime is 3305623039. The next prime is 3305623081. The reversal of 3305623041 is 1403265033.

It is a happy number.

3305623041 is a `hidden beast` number, since 3 + 30 + 5 + 623 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 3305623041 - 2¹ = 3305623039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3305622996 and 3305623014.

It is not an unprimeable number, because it can be changed into a prime (3305623081) 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 95 ways as a sum of consecutive naturals, for example, 12197736 + ... + 12198006.

It is an arithmetic number, because the mean of its divisors is an integer number (60592896).

Almost surely, 2^3305623041 is an apocalyptic number.

It is an amenable number.

3305623041 is a deficient number, since it is larger than the sum of its proper divisors (2511294975).

3305623041 is a wasteful number, since it uses less digits than its factorization.

3305623041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3305623041 is about 57494.5479241293. The cubic root of 3305623041 is about 1489.6506907537.

Adding to 3305623041 its reverse (1403265033), we get a palindrome (4708888074).

The spelling of 3305623041 in words is "three billion, three hundred five million, six hundred twenty-three thousand, forty-one".