344102020512 has 96 divisors (see below), whose sum is σ = 915081027840. Its totient is φ = 113209098240.

The previous prime is 344102020481. The next prime is 344102020517. The reversal of 344102020512 is 215020201443.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (344102020517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2526312 + ... + 2659032.

It is an arithmetic number, because the mean of its divisors is an integer number (9532094040).

Almost surely, 2^344102020512 is an apocalyptic number.

344102020512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344102020512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457540513920).

344102020512 is an abundant number, since it is smaller than the sum of its proper divisors (570979007328).

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

344102020512 is a wasteful number, since it uses less digits than its factorization.

344102020512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133086 (or 133078 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 344102020512 its reverse (215020201443), we get a palindrome (559122221955).

The spelling of 344102020512 in words is "three hundred forty-four billion, one hundred two million, twenty thousand, five hundred twelve".