34061277268480 has 640 divisors, whose sum is σ = 105151069900800. Its totient is φ = 10488345477120.

The previous prime is 34061277268423. The next prime is 34061277268517. The reversal of 34061277268480 is 8486277216043.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 801665797 + ... + 801708283.

It is an arithmetic number, because the mean of its divisors is an integer number (164298546720).

Almost surely, 2^{34061277268480} 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 34061277268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52575534950400).

34061277268480 is an abundant number, since it is smaller than the sum of its proper divisors (71089792632320).

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

34061277268480 is an equidigital number, since it uses as much as digits as its factorization.

34061277268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42625 (or 42595 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 58.

The spelling of 34061277268480 in words is "thirty-four trillion, sixty-one billion, two hundred seventy-seven million, two hundred sixty-eight thousand, four hundred eighty".