34424232146052 has 192 divisors, whose sum is σ = 94642708070400. Its totient is φ = 9532821602304.

The previous prime is 34424232146039. The next prime is 34424232146053. The reversal of 34424232146052 is 25064123242443.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34424232145995 and 34424232146013.

It is not an unprimeable number, because it can be changed into a prime (34424232146053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 861943428 + ... + 861983364.

It is an arithmetic number, because the mean of its divisors is an integer number (492930771200).

Almost surely, 2^{34424232146052} 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 34424232146052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47321354035200).

34424232146052 is an abundant number, since it is smaller than the sum of its proper divisors (60218475924348).

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

34424232146052 is a wasteful number, since it uses less digits than its factorization.

34424232146052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41050 (or 41048 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

Adding to 34424232146052 its reverse (25064123242443), we get a palindrome (59488355388495).

The spelling of 34424232146052 in words is "thirty-four trillion, four hundred twenty-four billion, two hundred thirty-two million, one hundred forty-six thousand, fifty-two".