345280320000 has 2000 divisors, whose sum is σ = 1614851232192. Its totient is φ = 71331840000.

The previous prime is 345280319977. The next prime is 345280320089. The reversal of 345280320000 is 23082543.

345280320000 is a `hidden beast` number, since 3 + 452 + 8 + 0 + 3 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2000).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 199 ways as a sum of consecutive naturals, for example, 1995839914 + ... + 1995840086.

Almost surely, 2^345280320000 is an apocalyptic number.

345280320000 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 345280320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807425616096).

345280320000 is an abundant number, since it is smaller than the sum of its proper divisors (1269570912192).

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

345280320000 is an equidigital number, since it uses as much as digits as its factorization.

345280320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 345280320000 in words is "three hundred forty-five billion, two hundred eighty million, three hundred twenty thousand".