34135027264 has 56 divisors (see below), whose sum is σ = 73000867968. Its totient is φ = 15743040000.

The previous prime is 34135027261. The next prime is 34135027321. The reversal of 34135027264 is 46272053143.

It is not an unprimeable number, because it can be changed into a prime (34135027261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1172889 + ... + 1201639.

It is an arithmetic number, because the mean of its divisors is an integer number (1303586928).

Almost surely, 2^34135027264 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 34135027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36500433984).

34135027264 is an abundant number, since it is smaller than the sum of its proper divisors (38865840704).

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

34135027264 is a wasteful number, since it uses less digits than its factorization.

34135027264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30203 (or 30193 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 34135027264 in words is "thirty-four billion, one hundred thirty-five million, twenty-seven thousand, two hundred sixty-four".