344443013798976 has 63 divisors (see below), whose sum is σ = 987284984673351. Its totient is φ = 114814189459584.

The previous prime is 344443013798959. The next prime is 344443013798987. The reversal of 344443013798976 is 679897310344443.

The square root of 344443013798976 is 18559176.

It is a perfect power (a square), and thus also a powerful number.

344443013798976 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 430 + 1 + 37 + 98 + 9 + 76 = 666.

It is a super-2 number, since 2×344443013798976² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 445033575 + ... + 445806873.

Almost surely, 2^{344443013798976} is an apocalyptic number.

344443013798976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

344443013798976 is the 18559176-th square number.

It is an amenable number.

344443013798976 is an abundant number, since it is smaller than the sum of its proper divisors (642841970874375).

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

344443013798976 is an frugal number, since it uses more digits than its factorization.

344443013798976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546616 (or 773304 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 72.

The spelling of 344443013798976 in words is "three hundred forty-four trillion, four hundred forty-three billion, thirteen million, seven hundred ninety-eight thousand, nine hundred seventy-six".