34224241010320 has 40 divisors (see below), whose sum is σ = 80301372849720. Its totient is φ = 13564102855680.

The previous prime is 34224241010291. The next prime is 34224241010347. The reversal of 34224241010320 is 2301014242243.

It can be written as a sum of positive squares in 4 ways, for example, as 1940571585936 + 32283669424384 = 1393044^2 + 5681872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1962390421 + ... + 1962407860.

It is an arithmetic number, because the mean of its divisors is an integer number (2007534321243).

Almost surely, 2^{34224241010320} is an apocalyptic number.

It is an amenable number.

34224241010320 is an abundant number, since it is smaller than the sum of its proper divisors (46077131839400).

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

34224241010320 is a wasteful number, since it uses less digits than its factorization.

34224241010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924798403 (or 3924798397 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34224241010320 its reverse (2301014242243), we get a palindrome (36525255252563).

The spelling of 34224241010320 in words is "thirty-four trillion, two hundred twenty-four billion, two hundred forty-one million, ten thousand, three hundred twenty".