345338686868 has 96 divisors (see below), whose sum is σ = 763392688128. Its totient is φ = 133189056000.

The previous prime is 345338686829. The next prime is 345338686921. The reversal of 345338686868 is 868686833543.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 345338686798 and 345338686807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42156653 + ... + 42164843.

It is an arithmetic number, because the mean of its divisors is an integer number (7952007168).

Almost surely, 2^345338686868 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 345338686868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381696344064).

345338686868 is an abundant number, since it is smaller than the sum of its proper divisors (418054001260).

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

345338686868 is a wasteful number, since it uses less digits than its factorization.

345338686868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12093 (or 12091 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 68.

The spelling of 345338686868 in words is "three hundred forty-five billion, three hundred thirty-eight million, six hundred eighty-six thousand, eight hundred sixty-eight".