344001072128 has 176 divisors, whose sum is σ = 833173542720. Its totient is φ = 138583474176.

The previous prime is 344001072097. The next prime is 344001072139. The reversal of 344001072128 is 821270100443.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 344001072094 and 344001072103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149759876 + ... + 149762172.

Almost surely, 2^344001072128 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 344001072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416586771360).

344001072128 is an abundant number, since it is smaller than the sum of its proper divisors (489172470592).

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

344001072128 is a wasteful number, since it uses less digits than its factorization.

344001072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 344001072128 in words is "three hundred forty-four billion, one million, seventy-two thousand, one hundred twenty-eight".