344320012213020 has 144 divisors (see below), whose sum is σ = 1067019512832000. Its totient is φ = 89834745575808.

The previous prime is 344320012212983. The next prime is 344320012213039. The reversal of 344320012213020 is 20312210023443.

344320012213020 is a `hidden beast` number, since 3 + 4 + 4 + 320 + 0 + 12 + 21 + 302 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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, 18198981 + ... + 31934979.

It is an arithmetic number, because the mean of its divisors is an integer number (7409857728000).

Almost surely, 2^{344320012213020} is an apocalyptic number.

344320012213020 is a gapful number since it is divisible by the number (30) 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 344320012213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533509756416000).

344320012213020 is an abundant number, since it is smaller than the sum of its proper divisors (722699500618980).

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

344320012213020 is a wasteful number, since it uses less digits than its factorization.

344320012213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13739024 (or 13739019 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 344320012213020 its reverse (20312210023443), we get a palindrome (364632222236463).

The spelling of 344320012213020 in words is "three hundred forty-four trillion, three hundred twenty billion, twelve million, two hundred thirteen thousand, twenty".