34302243400000 has 84 divisors (see below), whose sum is σ = 85080197823516. Its totient is φ = 13720897280000.

The previous prime is 34302243399953. The next prime is 34302243400013. The reversal of 34302243400000 is 434220343.

It can be written as a sum of positive squares in 6 ways, for example, as 21049964224576 + 13252279175424 = 4588024^2 + 3640368^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85555609 + ... + 85955608.

It is an arithmetic number, because the mean of its divisors is an integer number (1012859497899).

Almost surely, 2^{34302243400000} is an apocalyptic number.

It is an amenable number.

34302243400000 is an abundant number, since it is smaller than the sum of its proper divisors (50777954423516).

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

34302243400000 is an frugal number, since it uses more digits than its factorization.

34302243400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171511254 (or 171511224 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 34302243400000 its reverse (434220343), we get a palindrome (34302677620343).

The spelling of 34302243400000 in words is "thirty-four trillion, three hundred two billion, two hundred forty-three million, four hundred thousand".