345805572384 has 192 divisors, whose sum is σ = 1043175490560. Its totient is φ = 111331584000.

The previous prime is 345805572379. The next prime is 345805572391. The reversal of 345805572384 is 483275508543.

345805572384 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 0 + 557 + 2 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 345805572384.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13942074 + ... + 13966854.

It is an arithmetic number, because the mean of its divisors is an integer number (5433205680).

Almost surely, 2^345805572384 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 345805572384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521587745280).

345805572384 is an abundant number, since it is smaller than the sum of its proper divisors (697369918176).

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

345805572384 is a wasteful number, since it uses less digits than its factorization.

345805572384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25352 (or 25338 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 345805572384 in words is "three hundred forty-five billion, eight hundred five million, five hundred seventy-two thousand, three hundred eighty-four".