344227544736768 has 3696 divisors, whose sum is σ = 1387578689237376. Its totient is φ = 82840273551360.

The previous prime is 344227544736743. The next prime is 344227544736769. The reversal of 344227544736768 is 867637445722443.

344227544736768 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 2 + 7 + 544 + 7 + 3 + 6 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a super-2 number, since 2×344227544736768² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 344227544736696 and 344227544736705.

It is not an unprimeable number, because it can be changed into a prime (344227544736769) 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 335 ways as a sum of consecutive naturals, for example, 1099768513380 + ... + 1099768513692.

Almost surely, 2^{344227544736768} is an apocalyptic number.

344227544736768 is a gapful number since it is divisible by the number (38) 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 344227544736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693789344618688).

344227544736768 is an abundant number, since it is smaller than the sum of its proper divisors (1043351144500608).

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

344227544736768 is a wasteful number, since it uses less digits than its factorization.

344227544736768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 408 counting only the distinct ones).

The product of its digits is 4551966720, while the sum is 72.

The spelling of 344227544736768 in words is "three hundred forty-four trillion, two hundred twenty-seven billion, five hundred forty-four million, seven hundred thirty-six thousand, seven hundred sixty-eight".