34244005200 has 60 divisors (see below), whose sum is σ = 109694967168. Its totient is φ = 9131734400.

The previous prime is 34244005171. The next prime is 34244005207. The reversal of 34244005200 is 250044243.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34244005207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14267136 + ... + 14269535.

Almost surely, 2^34244005200 is an apocalyptic number.

34244005200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34244005200 is an abundant number, since it is smaller than the sum of its proper divisors (75450961968).

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

34244005200 is a wasteful number, since it uses less digits than its factorization.

34244005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28536692 (or 28536681 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 34244005200 its reverse (250044243), we get a palindrome (34494049443).

The spelling of 34244005200 in words is "thirty-four billion, two hundred forty-four million, five thousand, two hundred".