34264956485760 has 4096 divisors, whose sum is σ = 157346316288000. Its totient is φ = 6294719692800.

The previous prime is 34264956485759. The next prime is 34264956485789. The reversal of 34264956485760 is 6758465946243.

34264956485760 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 353246974032 + ... + 353246974128.

It is an arithmetic number, because the mean of its divisors is an integer number (38414628000).

Almost surely, 2^{34264956485760} is an apocalyptic number.

34264956485760 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 34264956485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78673158144000).

34264956485760 is an abundant number, since it is smaller than the sum of its proper divisors (123081359802240).

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

34264956485760 is a wasteful number, since it uses less digits than its factorization.

34264956485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 69.

The spelling of 34264956485760 in words is "thirty-four trillion, two hundred sixty-four billion, nine hundred fifty-six million, four hundred eighty-five thousand, seven hundred sixty".