34124552005434 has 144 divisors (see below), whose sum is σ = 76923396476640. Its totient is φ = 10084432160000.

The previous prime is 34124552005433. The next prime is 34124552005463. The reversal of 34124552005434 is 43450025542143.

It is not an unprimeable number, because it can be changed into a prime (34124552005433) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4319012884 + ... + 4319020784.

It is an arithmetic number, because the mean of its divisors is an integer number (534190253310).

Almost surely, 2^{34124552005434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34124552005434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38461698238320).

34124552005434 is an abundant number, since it is smaller than the sum of its proper divisors (42798844471206).

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

34124552005434 is a wasteful number, since it uses less digits than its factorization.

34124552005434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11549 (or 11497 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 34124552005434 its reverse (43450025542143), we get a palindrome (77574577547577).

The spelling of 34124552005434 in words is "thirty-four trillion, one hundred twenty-four billion, five hundred fifty-two million, five thousand, four hundred thirty-four".