34305405200000 has 768 divisors, whose sum is σ = 95901911884800. Its totient is φ = 12114432000000.

The previous prime is 34305405199993. The next prime is 34305405200021. The reversal of 34305405200000 is 250450343.

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, 71618799761 + ... + 71618800239.

It is an arithmetic number, because the mean of its divisors is an integer number (124872281100).

Almost surely, 2^{34305405200000} 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 34305405200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47950955942400).

34305405200000 is an abundant number, since it is smaller than the sum of its proper divisors (61596506684800).

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

34305405200000 is an equidigital number, since it uses as much as digits as its factorization.

34305405200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

Adding to 34305405200000 its reverse (250450343), we get a palindrome (34305655650343).

The spelling of 34305405200000 in words is "thirty-four trillion, three hundred five billion, four hundred five million, two hundred thousand".