344019902112 has 192 divisors, whose sum is σ = 1015325660160. Its totient is φ = 113317097472.

The previous prime is 344019902071. The next prime is 344019902117. The reversal of 344019902112 is 211209910443.

344019902112 is a `hidden beast` number, since 3 + 440 + 19 + 90 + 2 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (344019902117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26389548 + ... + 26402580.

It is an arithmetic number, because the mean of its divisors is an integer number (5288154480).

Almost surely, 2^344019902112 is an apocalyptic number.

344019902112 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 344019902112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507662830080).

344019902112 is an abundant number, since it is smaller than the sum of its proper divisors (671305758048).

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

344019902112 is a wasteful number, since it uses less digits than its factorization.

344019902112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13412 (or 13398 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 344019902112 in words is "three hundred forty-four billion, nineteen million, nine hundred two thousand, one hundred twelve".