348237736838769 has 24 divisors (see below), whose sum is σ = 493609223731680. Its totient is φ = 218300836200832.

The previous prime is 348237736838759. The next prime is 348237736838773. The reversal of 348237736838769 is 967838637732843.

It is not a de Polignac number, because 348237736838769 - 2²⁰ = 348237735790193 is a prime.

It is a super-2 number, since 2×348237736838769² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348237736838691 and 348237736838700.

It is not an unprimeable number, because it can be changed into a prime (348237736838759) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1859495064 + ... + 1859682329.

It is an arithmetic number, because the mean of its divisors is an integer number (20567050988820).

Almost surely, 2^{348237736838769} is an apocalyptic number.

It is an amenable number.

348237736838769 is a deficient number, since it is larger than the sum of its proper divisors (145371486892911).

348237736838769 is a wasteful number, since it uses less digits than its factorization.

348237736838769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719177501 (or 3719177478 counting only the distinct ones).

The product of its digits is 36870930432, while the sum is 84.

The spelling of 348237736838769 in words is "three hundred forty-eight trillion, two hundred thirty-seven billion, seven hundred thirty-six million, eight hundred thirty-eight thousand, seven hundred sixty-nine".