3305705331407 has 8 divisors (see below), whose sum is σ = 3318056913600. Its totient is φ = 3293354214304.

The previous prime is 3305705331373. The next prime is 3305705331463. The reversal of 3305705331407 is 7041335075033.

3305705331407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3305705331407 - 2¹⁸ = 3305705069263 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305705331497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21850538 + ... + 22001304.

It is an arithmetic number, because the mean of its divisors is an integer number (414757114200).

Almost surely, 2^{3305705331407} is an apocalyptic number.

3305705331407 is a deficient number, since it is larger than the sum of its proper divisors (12351582193).

3305705331407 is a wasteful number, since it uses less digits than its factorization.

3305705331407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232545.

The product of its (nonzero) digits is 396900, while the sum is 41.

The spelling of 3305705331407 in words is "three trillion, three hundred five billion, seven hundred five million, three hundred thirty-one thousand, four hundred seven".