34240133024300 has 144 divisors (see below), whose sum is σ = 86491695843840. Its totient is φ = 11522202048000.

The previous prime is 34240133024281. The next prime is 34240133024333. The reversal of 34240133024300 is 342033104243.

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 47 ways as a sum of consecutive naturals, for example, 25403360 + ... + 26717240.

Almost surely, 2^{34240133024300} 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 34240133024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43245847921920).

34240133024300 is an abundant number, since it is smaller than the sum of its proper divisors (52251562819540).

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

34240133024300 is a wasteful number, since it uses less digits than its factorization.

34240133024300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314592 (or 1314585 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 34240133024300 its reverse (342033104243), we get a palindrome (34582166128543).

The spelling of 34240133024300 in words is "thirty-four trillion, two hundred forty billion, one hundred thirty-three million, twenty-four thousand, three hundred".