344944311552 has 216 divisors, whose sum is σ = 1054517844744. Its totient is φ = 108068339712.

The previous prime is 344944311533. The next prime is 344944311559. The reversal of 344944311552 is 255113449443.

It is a happy number.

344944311552 is a `hidden beast` number, since 3 + 4 + 4 + 94 + 4 + 3 + 1 + 1 + 552 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52929444096 + 292014867456 = 230064^2 + 540384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 344944311498 and 344944311507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344944311559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30271168 + ... + 30282560.

It is an arithmetic number, because the mean of its divisors is an integer number (4882027059).

Almost surely, 2^344944311552 is an apocalyptic number.

344944311552 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 344944311552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527258922372).

344944311552 is an abundant number, since it is smaller than the sum of its proper divisors (709573533192).

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

344944311552 is a wasteful number, since it uses less digits than its factorization.

344944311552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12205 (or 12188 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 344944311552 in words is "three hundred forty-four billion, nine hundred forty-four million, three hundred eleven thousand, five hundred fifty-two".