34244113000 has 64 divisors (see below), whose sum is σ = 80200757520. Its totient is φ = 13685760000.

The previous prime is 34244112989. The next prime is 34244113009. The reversal of 34244113000 is 31144243.

It can be written as a sum of positive squares in 8 ways, for example, as 337309956 + 33906803044 = 18366^2 + 184138^2 .

It is not an unprimeable number, because it can be changed into a prime (34244113009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186744 + ... + 1215256.

Almost surely, 2^34244113000 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 34244113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40100378760).

34244113000 is an abundant number, since it is smaller than the sum of its proper divisors (45956644520).

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

34244113000 is a wasteful number, since it uses less digits than its factorization.

34244113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29735 (or 29721 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34244113000 its reverse (31144243), we get a palindrome (34275257243).

The spelling of 34244113000 in words is "thirty-four billion, two hundred forty-four million, one hundred thirteen thousand".