344134403200 has 96 divisors (see below), whose sum is σ = 971565226560. Its totient is φ = 117988930560.

The previous prime is 344134403161. The next prime is 344134403203. The reversal of 344134403200 is 2304431443.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (344134403203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7659172 + ... + 7703971.

It is an arithmetic number, because the mean of its divisors is an integer number (10120471110).

Almost surely, 2^344134403200 is an apocalyptic number.

It is an amenable number.

344134403200 is an abundant number, since it is smaller than the sum of its proper divisors (627430823360).

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

344134403200 is a wasteful number, since it uses less digits than its factorization.

344134403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15363174 (or 15363157 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 344134403200 its reverse (2304431443), we get a palindrome (346438834643).

The spelling of 344134403200 in words is "three hundred forty-four billion, one hundred thirty-four million, four hundred three thousand, two hundred".