34312234542534 has 192 divisors, whose sum is σ = 88307835033600. Its totient is φ = 9527043246336.

The previous prime is 34312234542517. The next prime is 34312234542559. The reversal of 34312234542534 is 43524543221343.

34312234542534 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 22 + 34 + 542 + 53 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34312234542534.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23737684 + ... + 25141640.

It is an arithmetic number, because the mean of its divisors is an integer number (459936640800).

Almost surely, 2^{34312234542534} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34312234542534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44153917516800).

34312234542534 is an abundant number, since it is smaller than the sum of its proper divisors (53995600491066).

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

34312234542534 is a wasteful number, since it uses less digits than its factorization.

34312234542534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404259 (or 1404256 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 45.

Adding to 34312234542534 its reverse (43524543221343), we get a palindrome (77836777763877).

The spelling of 34312234542534 in words is "thirty-four trillion, three hundred twelve billion, two hundred thirty-four million, five hundred forty-two thousand, five hundred thirty-four".