3805293460864 has 64 divisors (see below), whose sum is σ = 8664287673600. Its totient is φ = 1630755371520.

The previous prime is 3805293460841. The next prime is 3805293460877. The reversal of 3805293460864 is 4680643925083.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3805293460799 and 3805293460808.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 19002219 + ... + 19201429.

It is an arithmetic number, because the mean of its divisors is an integer number (135379494900).

Almost surely, 2^{3805293460864} is an apocalyptic number.

It is an amenable number.

3805293460864 is an abundant number, since it is smaller than the sum of its proper divisors (4858994212736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3805293460864 is a wasteful number, since it uses less digits than its factorization.

3805293460864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220551 (or 220539 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 58.

The spelling of 3805293460864 in words is "three trillion, eight hundred five billion, two hundred ninety-three million, four hundred sixty thousand, eight hundred sixty-four".