34340454052000 has 384 divisors, whose sum is σ = 88159216803840. Its totient is φ = 13129985433600.

The previous prime is 34340454051977. The next prime is 34340454052007. The reversal of 34340454052000 is 25045404343.

It is not an unprimeable number, because it can be changed into a prime (34340454052007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7704833772 + ... + 7704838228.

It is an arithmetic number, because the mean of its divisors is an integer number (229581293760).

Almost surely, 2^{34340454052000} 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 34340454052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44079608401920).

34340454052000 is an abundant number, since it is smaller than the sum of its proper divisors (53818762751840).

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

34340454052000 is a wasteful number, since it uses less digits than its factorization.

34340454052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 34340454052000 its reverse (25045404343), we get a palindrome (34365499456343).

The spelling of 34340454052000 in words is "thirty-four trillion, three hundred forty billion, four hundred fifty-four million, fifty-two thousand".