345848375808 has 160 divisors (see below), whose sum is σ = 1102484644800. Its totient is φ = 106414829568.

The previous prime is 345848375737. The next prime is 345848375813. The reversal of 345848375808 is 808573848543.

345848375808 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 48 + 3 + 7 + 580 + 8 = 666.

It is a super-3 number, since 3×345848375808³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 782518 + ... + 1141941.

It is an arithmetic number, because the mean of its divisors is an integer number (6890529030).

Almost surely, 2^345848375808 is an apocalyptic number.

It is an amenable number.

345848375808 is an abundant number, since it is smaller than the sum of its proper divisors (756636268992).

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

345848375808 is a wasteful number, since it uses less digits than its factorization.

345848375808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924499 (or 1924477 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 345848375808 in words is "three hundred forty-five billion, eight hundred forty-eight million, three hundred seventy-five thousand, eight hundred eight".