345199607808 has 384 divisors, whose sum is σ = 1063004342400. Its totient is φ = 98650030080.

The previous prime is 345199607807. The next prime is 345199607821. The reversal of 345199607808 is 808706991543.

345199607808 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345199607807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8027897835 + ... + 8027897877.

It is an arithmetic number, because the mean of its divisors is an integer number (2768240475).

Almost surely, 2^345199607808 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 345199607808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531502171200).

345199607808 is an abundant number, since it is smaller than the sum of its proper divisors (717804734592).

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

345199607808 is an frugal number, since it uses more digits than its factorization.

345199607808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 345199607808 in words is "three hundred forty-five billion, one hundred ninety-nine million, six hundred seven thousand, eight hundred eight".