345348864000 has 2304 divisors, whose sum is σ = 1594494720000. Its totient is φ = 71530905600.

The previous prime is 345348863989. The next prime is 345348864067. The reversal of 345348864000 is 468843543.

345348864000 is a `hidden beast` number, since 34 + 534 + 8 + 86 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 15015167989 + ... + 15015168011.

It is an arithmetic number, because the mean of its divisors is an integer number (692055000).

Almost surely, 2^345348864000 is an apocalyptic number.

345348864000 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 345348864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797247360000).

345348864000 is an abundant number, since it is smaller than the sum of its proper divisors (1249145856000).

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

345348864000 is a wasteful number, since it uses less digits than its factorization.

345348864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 345348864000 in words is "three hundred forty-five billion, three hundred forty-eight million, eight hundred sixty-four thousand".