34144210132300 has 144 divisors (see below), whose sum is σ = 77096752992000. Its totient is φ = 13111287321600.

The previous prime is 34144210132261. The next prime is 34144210132313. The reversal of 34144210132300 is 323101244143.

It is a happy number.

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, 357000886 + ... + 357096514.

It is an arithmetic number, because the mean of its divisors is an integer number (535394118000).

Almost surely, 2^{34144210132300} 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 34144210132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38548376496000).

34144210132300 is an abundant number, since it is smaller than the sum of its proper divisors (42952542859700).

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

34144210132300 is a wasteful number, since it uses less digits than its factorization.

34144210132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96596 (or 96589 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 34144210132300 its reverse (323101244143), we get a palindrome (34467311376443).

The spelling of 34144210132300 in words is "thirty-four trillion, one hundred forty-four billion, two hundred ten million, one hundred thirty-two thousand, three hundred".