34424007885300 has 288 divisors, whose sum is σ = 114424146385920. Its totient is φ = 7902481305600.

The previous prime is 34424007885283. The next prime is 34424007885347. The reversal of 34424007885300 is 358870042443.

It is a self number, because there is not a number n which added to its sum of digits gives 34424007885300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142396329 + ... + 142637871.

It is an arithmetic number, because the mean of its divisors is an integer number (397306063840).

Almost surely, 2^{34424007885300} is an apocalyptic number.

34424007885300 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 34424007885300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57212073192960).

34424007885300 is an abundant number, since it is smaller than the sum of its proper divisors (80000138500620).

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

34424007885300 is a wasteful number, since it uses less digits than its factorization.

34424007885300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243863 (or 243856 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 34424007885300 in words is "thirty-four trillion, four hundred twenty-four billion, seven million, eight hundred eighty-five thousand, three hundred".