34534224512 has 64 divisors (see below), whose sum is σ = 71243685000. Its totient is φ = 16654675968.

The previous prime is 34534224469. The next prime is 34534224523. The reversal of 34534224512 is 21542243543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26496026176 + 8038198336 = 162776^2 + 89656^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34534224512² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4112414 + ... + 4120802.

Almost surely, 2^34534224512 is an apocalyptic number.

34534224512 is a gapful number since it is divisible by the number (32) 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 34534224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35621842500).

34534224512 is an abundant number, since it is smaller than the sum of its proper divisors (36709460488).

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

34534224512 is a wasteful number, since it uses less digits than its factorization.

34534224512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9541 (or 9529 counting only the distinct ones).

The product of its digits is 115200, while the sum is 35.

The spelling of 34534224512 in words is "thirty-four billion, five hundred thirty-four million, two hundred twenty-four thousand, five hundred twelve".