349653850385 has 12 divisors (see below), whose sum is σ = 488088232308. Its totient is φ = 239762640096.

The previous prime is 349653850379. The next prime is 349653850409. The reversal of 349653850385 is 583058356943.

It can be written as a sum of positive squares in 2 ways, for example, as 239195333776 + 110458516609 = 489076^2 + 332353^2 .

It is not a de Polignac number, because 349653850385 - 2⁴ = 349653850369 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 713579042 + ... + 713579531.

It is an arithmetic number, because the mean of its divisors is an integer number (40674019359).

Almost surely, 2^349653850385 is an apocalyptic number.

349653850385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

349653850385 is a deficient number, since it is larger than the sum of its proper divisors (138434381923).

349653850385 is a wasteful number, since it uses less digits than its factorization.

349653850385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427158592 (or 1427158585 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 59.

The spelling of 349653850385 in words is "three hundred forty-nine billion, six hundred fifty-three million, eight hundred fifty thousand, three hundred eighty-five".