34142402312300 has 144 divisors (see below), whose sum is σ = 76624624876800. Its totient is φ = 13196635119360.

The previous prime is 34142402312273. The next prime is 34142402312309. The reversal of 34142402312300 is 321320424143.

It is not an unprimeable number, because it can be changed into a prime (34142402312309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448619651 + ... + 448695749.

Almost surely, 2^{34142402312300} 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 34142402312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38312312438400).

34142402312300 is an abundant number, since it is smaller than the sum of its proper divisors (42482222564500).

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

34142402312300 is a wasteful number, since it uses less digits than its factorization.

34142402312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77272 (or 77265 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 34142402312300 its reverse (321320424143), we get a palindrome (34463722736443).

The spelling of 34142402312300 in words is "thirty-four trillion, one hundred forty-two billion, four hundred two million, three hundred twelve thousand, three hundred".