34534491264 has 896 divisors, whose sum is σ = 131107536000. Its totient is φ = 8998262784.

The previous prime is 34534491263. The next prime is 34534491293. The reversal of 34534491264 is 46219443543.

34534491264 is a `hidden beast` number, since 3 + 4 + 534 + 4 + 91 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

Its product of digits (1244160) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34534491263) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 416078167 + ... + 416078249.

It is an arithmetic number, because the mean of its divisors is an integer number (146325375).

Almost surely, 2^34534491264 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 34534491264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65553768000).

34534491264 is an abundant number, since it is smaller than the sum of its proper divisors (96573044736).

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

34534491264 is an frugal number, since it uses more digits than its factorization.

34534491264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 108 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 34534491264 in words is "thirty-four billion, five hundred thirty-four million, four hundred ninety-one thousand, two hundred sixty-four".