345202243320000 has 1120 divisors, whose sum is σ = 1300410318493440. Its totient is φ = 80042895360000.

The previous prime is 345202243319993. The next prime is 345202243320023. The reversal of 345202243320000 is 23342202543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 345202243320000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2881500102 + ... + 2881619898.

It is an arithmetic number, because the mean of its divisors is an integer number (1161080641512).

Almost surely, 2^{345202243320000} is an apocalyptic number.

345202243320000 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 345202243320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650205159246720).

345202243320000 is an abundant number, since it is smaller than the sum of its proper divisors (955208075173440).

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

345202243320000 is a wasteful number, since it uses less digits than its factorization.

345202243320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119939 (or 119914 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 345202243320000 its reverse (23342202543), we get a palindrome (345225585522543).

The spelling of 345202243320000 in words is "three hundred forty-five trillion, two hundred two billion, two hundred forty-three million, three hundred twenty thousand".