345944906817930 has 160 divisors (see below), whose sum is σ = 1063115940306816. Its totient is φ = 79071503757696.

The previous prime is 345944906817893. The next prime is 345944906817931. The reversal of 345944906817930 is 39718609449543.

345944906817930 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 4 + 490 + 68 + 1 + 79 + 3 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (345944906817931) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 288327517 + ... + 289524863.

Almost surely, 2^{345944906817930} is an apocalyptic number.

345944906817930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345944906817930 is an abundant number, since it is smaller than the sum of its proper divisors (717171033488886).

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

345944906817930 is a wasteful number, since it uses less digits than its factorization.

345944906817930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248330 (or 1248321 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 345944906817930 in words is "three hundred forty-five trillion, nine hundred forty-four billion, nine hundred six million, eight hundred seventeen thousand, nine hundred thirty".