34231023442000 has 320 divisors, whose sum is σ = 104943620321280. Its totient is φ = 10488569664000.

The previous prime is 34231023441913. The next prime is 34231023442001. The reversal of 34231023442000 is 24432013243.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 34231023442000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34231023442001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7202277 + ... + 10969723.

It is an arithmetic number, because the mean of its divisors is an integer number (327948813504).

Almost surely, 2^{34231023442000} 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 34231023442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52471810160640).

34231023442000 is an abundant number, since it is smaller than the sum of its proper divisors (70712596879280).

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

34231023442000 is a wasteful number, since it uses less digits than its factorization.

34231023442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767547 (or 3767531 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34231023442000 its reverse (24432013243), we get a palindrome (34255455455243).

The spelling of 34231023442000 in words is "thirty-four trillion, two hundred thirty-one billion, twenty-three million, four hundred forty-two thousand".