34231040340000 has 720 divisors, whose sum is σ = 130726932690816. Its totient is φ = 7817644800000.

The previous prime is 34231040339989. The next prime is 34231040340001. The reversal of 34231040340000 is 4304013243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34231040340001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4060135785 + ... + 4060144215.

Almost surely, 2^{34231040340000} is an apocalyptic number.

34231040340000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34231040340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65363466345408).

34231040340000 is an abundant number, since it is smaller than the sum of its proper divisors (96495892350816).

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

34231040340000 is a wasteful number, since it uses less digits than its factorization.

34231040340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859 (or 9829 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34231040340000 its reverse (4304013243), we get a palindrome (34235344353243).

The spelling of 34231040340000 in words is "thirty-four trillion, two hundred thirty-one billion, forty million, three hundred forty thousand".