349584507477 has 20 divisors (see below), whose sum is σ = 522315434080. Its totient is φ = 233013226824.

The previous prime is 349584507473. The next prime is 349584507479. The reversal of 349584507477 is 774705485943.

349584507477 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 84 + 507 + 47 + 7 = 666.

It is not a de Polignac number, because 349584507477 - 2² = 349584507473 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 (349584507473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44424 + ... + 837342.

It is an arithmetic number, because the mean of its divisors is an integer number (26115771704).

Almost surely, 2^349584507477 is an apocalyptic number.

It is an amenable number.

349584507477 is a deficient number, since it is larger than the sum of its proper divisors (172730926603).

349584507477 is an equidigital number, since it uses as much as digits as its factorization.

349584507477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798374 (or 798365 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 349584507477 in words is "three hundred forty-nine billion, five hundred eighty-four million, five hundred seven thousand, four hundred seventy-seven".