345594654720 has 1248 divisors, whose sum is σ = 1442580572160. Its totient is φ = 74884055040.

The previous prime is 345594654709. The next prime is 345594654733. The reversal of 345594654720 is 27456495543.

It is a happy number.

345594654720 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 94 + 6 + 547 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2486292411 + ... + 2486292549.

It is an arithmetic number, because the mean of its divisors is an integer number (1155913920).

Almost surely, 2^345594654720 is an apocalyptic number.

345594654720 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 345594654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721290286080).

345594654720 is an abundant number, since it is smaller than the sum of its proper divisors (1096985917440).

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

345594654720 is a wasteful number, since it uses less digits than its factorization.

345594654720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 345594654720 in words is "three hundred forty-five billion, five hundred ninety-four million, six hundred fifty-four thousand, seven hundred twenty".