34144204000 has 96 divisors (see below), whose sum is σ = 84554136576. Its totient is φ = 13549939200.

The previous prime is 34144203971. The next prime is 34144204009. The reversal of 34144204000 is 40244143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34144204009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474394 + ... + 541606.

It is an arithmetic number, because the mean of its divisors is an integer number (880772256).

Almost surely, 2^34144204000 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 34144204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42277068288).

34144204000 is an abundant number, since it is smaller than the sum of its proper divisors (50409932576).

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

34144204000 is a wasteful number, since it uses less digits than its factorization.

34144204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67365 (or 67347 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 34144204000 its reverse (40244143), we get a palindrome (34184448143).

It can be divided in two parts, 34144 and 204000, that added together give a square (238144 = 488²).

The spelling of 34144204000 in words is "thirty-four billion, one hundred forty-four million, two hundred four thousand".