349535778849 has 48 divisors (see below), whose sum is σ = 539617478400. Its totient is φ = 225966310416.

The previous prime is 349535778847. The next prime is 349535778881. The reversal of 349535778849 is 948877535943.

349535778849 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 3 + 577 + 8 + 8 + 49 = 666.

It is not a de Polignac number, because 349535778849 - 2¹ = 349535778847 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (349535778847) 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 47 ways as a sum of consecutive naturals, for example, 1332082 + ... + 1572740.

It is an arithmetic number, because the mean of its divisors is an integer number (11242030800).

Almost surely, 2^349535778849 is an apocalyptic number.

It is an amenable number.

349535778849 is a deficient number, since it is larger than the sum of its proper divisors (190081699551).

349535778849 is a wasteful number, since it uses less digits than its factorization.

349535778849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240856 (or 240844 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 349535778849 in words is "three hundred forty-nine billion, five hundred thirty-five million, seven hundred seventy-eight thousand, eight hundred forty-nine".