34135012480 has 128 divisors (see below), whose sum is σ = 83959545600. Its totient is φ = 13262807040.

The previous prime is 34135012421. The next prime is 34135012501. The reversal of 34135012480 is 8421053143.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6268639 + ... + 6274081.

It is an arithmetic number, because the mean of its divisors is an integer number (655933950).

Almost surely, 2^34135012480 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 34135012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41979772800).

34135012480 is an abundant number, since it is smaller than the sum of its proper divisors (49824533120).

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

34135012480 is a wasteful number, since it uses less digits than its factorization.

34135012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 34135012480 in words is "thirty-four billion, one hundred thirty-five million, twelve thousand, four hundred eighty".