345947979385800 has 1152 divisors, whose sum is σ = 1334421391564800. Its totient is φ = 82297580428800.

The previous prime is 345947979385793. The next prime is 345947979385847. The reversal of 345947979385800 is 8583979749543.

345947979385800 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 479 + 7 + 93 + 8 + 58 + 0 + 0 = 666.

It is a super-2 number, since 2×345947979385800² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345947979385800.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11513546377 + ... + 11513576423.

It is an arithmetic number, because the mean of its divisors is an integer number (1158351902400).

Almost surely, 2^{345947979385800} is an apocalyptic number.

345947979385800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345947979385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667210695782400).

345947979385800 is an abundant number, since it is smaller than the sum of its proper divisors (988473412179000).

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

345947979385800 is a wasteful number, since it uses less digits than its factorization.

345947979385800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30424 (or 30398 counting only the distinct ones).

The product of its (nonzero) digits is 8230118400, while the sum is 81.

The spelling of 345947979385800 in words is "three hundred forty-five trillion, nine hundred forty-seven billion, nine hundred seventy-nine million, three hundred eighty-five thousand, eight hundred".