348375633816 has 128 divisors (see below), whose sum is σ = 1017869690880. Its totient is φ = 97290379776.

The previous prime is 348375633811. The next prime is 348375633841. The reversal of 348375633816 is 618336573843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348375633811) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6075070 + ... + 6132146.

It is an arithmetic number, because the mean of its divisors is an integer number (7952106960).

Almost surely, 2^348375633816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348375633816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508934845440).

348375633816 is an abundant number, since it is smaller than the sum of its proper divisors (669494057064).

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

348375633816 is a wasteful number, since it uses less digits than its factorization.

348375633816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57913 (or 57909 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 57.

The spelling of 348375633816 in words is "three hundred forty-eight billion, three hundred seventy-five million, six hundred thirty-three thousand, eight hundred sixteen".