344612195712 has 384 divisors, whose sum is σ = 1081832693760. Its totient is φ = 108982444032.

The previous prime is 344612195651. The next prime is 344612195717. The reversal of 344612195712 is 217591216443.

344612195712 is a `hidden beast` number, since 3 + 4 + 4 + 61 + 2 + 19 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344612195717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90852888 + ... + 90856680.

It is an arithmetic number, because the mean of its divisors is an integer number (2817272640).

Almost surely, 2^344612195712 is an apocalyptic number.

344612195712 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 344612195712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540916346880).

344612195712 is an abundant number, since it is smaller than the sum of its proper divisors (737220498048).

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

344612195712 is a wasteful number, since it uses less digits than its factorization.

344612195712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3948 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 344612195712 in words is "three hundred forty-four billion, six hundred twelve million, one hundred ninety-five thousand, seven hundred twelve".