3405764305075 has 48 divisors (see below), whose sum is σ = 4724587607040. Its totient is φ = 2413869984000.

The previous prime is 3405764305063. The next prime is 3405764305127. The reversal of 3405764305075 is 5705034675043.

It is not a de Polignac number, because 3405764305075 - 2¹¹ = 3405764303027 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10197382 + ... + 10526068.

It is an arithmetic number, because the mean of its divisors is an integer number (98428908480).

Almost surely, 2^{3405764305075} is an apocalyptic number.

3405764305075 is a deficient number, since it is larger than the sum of its proper divisors (1318823301965).

3405764305075 is a wasteful number, since it uses less digits than its factorization.

3405764305075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329668 (or 329663 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 49.

The spelling of 3405764305075 in words is "three trillion, four hundred five billion, seven hundred sixty-four million, three hundred five thousand, seventy-five".