34431216534 has 256 divisors, whose sum is σ = 91744773120. Its totient is φ = 9434880000.

The previous prime is 34431216527. The next prime is 34431216539. The reversal of 34431216534 is 43561213443.

34431216534 is a `hidden beast` number, since 3 + 4 + 431 + 216 + 5 + 3 + 4 = 666.

It is a super-2 number, since 2×34431216534² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34431216539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102169614 + ... + 102169950.

It is an arithmetic number, because the mean of its divisors is an integer number (358378020).

Almost surely, 2^34431216534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34431216534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45872386560).

34431216534 is an abundant number, since it is smaller than the sum of its proper divisors (57313556586).

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

34431216534 is a wasteful number, since it uses less digits than its factorization.

34431216534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 34431216534 its reverse (43561213443), we get a palindrome (77992429977).

The spelling of 34431216534 in words is "thirty-four billion, four hundred thirty-one million, two hundred sixteen thousand, five hundred thirty-four".