34315653120000 has 1280 divisors, whose sum is σ = 132593842888320. Its totient is φ = 7729053696000.

The previous prime is 34315653119989. The next prime is 34315653120019. The reversal of 34315653120000 is 2135651343.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31395839454 + ... + 31395840546.

Almost surely, 2^{34315653120000} is an apocalyptic number.

34315653120000 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 34315653120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66296921444160).

34315653120000 is an abundant number, since it is smaller than the sum of its proper divisors (98278189768320).

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

34315653120000 is an frugal number, since it uses more digits than its factorization.

34315653120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 34315653120000 its reverse (2135651343), we get a palindrome (34317788771343).

The spelling of 34315653120000 in words is "thirty-four trillion, three hundred fifteen billion, six hundred fifty-three million, one hundred twenty thousand".