34013244052300 has 144 divisors (see below), whose sum is σ = 78314565547008. Its totient is φ = 12778109337600.

The previous prime is 34013244052199. The next prime is 34013244052357. The reversal of 34013244052300 is 325044231043.

It is a happy number.

It is a super-2 number, since 2×34013244052300² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3891225930 + ... + 3891234670.

It is an arithmetic number, because the mean of its divisors is an integer number (543851149632).

Almost surely, 2^{34013244052300} 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 34013244052300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39157282773504).

34013244052300 is an abundant number, since it is smaller than the sum of its proper divisors (44301321494708).

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

34013244052300 is a wasteful number, since it uses less digits than its factorization.

34013244052300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13316 (or 13309 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 34013244052300 its reverse (325044231043), we get a palindrome (34338288283343).

The spelling of 34013244052300 in words is "thirty-four trillion, thirteen billion, two hundred forty-four million, fifty-two thousand, three hundred".