34323002424100 has 216 divisors, whose sum is σ = 82820716447392. Its totient is φ = 12334260556800.

The previous prime is 34323002424077. The next prime is 34323002424121. The reversal of 34323002424100 is 142420032343.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 204118659 + ... + 204286741.

It is an arithmetic number, because the mean of its divisors is an integer number (383429242812).

Almost surely, 2^{34323002424100} 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 34323002424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41410358223696).

34323002424100 is an abundant number, since it is smaller than the sum of its proper divisors (48497714023292).

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

34323002424100 is a wasteful number, since it uses less digits than its factorization.

34323002424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168447 (or 168427 counting only the distinct ones).

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

Adding to 34323002424100 its reverse (142420032343), we get a palindrome (34465422456443).

It can be divided in two parts, 3432300 and 2424100, that added together give a square (5856400 = 2420²).

The spelling of 34323002424100 in words is "thirty-four trillion, three hundred twenty-three billion, two million, four hundred twenty-four thousand, one hundred".