344831983920 has 80 divisors (see below), whose sum is σ = 1187754618720. Its totient is φ = 91955195136.

The previous prime is 344831983907. The next prime is 344831983921. The reversal of 344831983920 is 29389138443.

344831983920 is a `hidden beast` number, since 3 + 448 + 3 + 198 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (344831983921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79820059 + ... + 79824378.

It is an arithmetic number, because the mean of its divisors is an integer number (14846932734).

Almost surely, 2^344831983920 is an apocalyptic number.

344831983920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344831983920 is an abundant number, since it is smaller than the sum of its proper divisors (842922634800).

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

344831983920 is a wasteful number, since it uses less digits than its factorization.

344831983920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159644459 (or 159644447 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 344831983920 in words is "three hundred forty-four billion, eight hundred thirty-one million, nine hundred eighty-three thousand, nine hundred twenty".