344889861120 has 792 divisors, whose sum is σ = 1423490088384. Its totient is φ = 78435827712.

The previous prime is 344889860947. The next prime is 344889861133. The reversal of 344889861120 is 21168988443.

It is a happy number.

344889861120 is a `hidden beast` number, since 3 + 4 + 488 + 98 + 61 + 12 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1733114781 + ... + 1733114979.

Almost surely, 2^344889861120 is an apocalyptic number.

344889861120 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 344889861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711745044192).

344889861120 is an abundant number, since it is smaller than the sum of its proper divisors (1078600227264).

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

344889861120 is an frugal number, since it uses more digits than its factorization.

344889861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 344889861120 in words is "three hundred forty-four billion, eight hundred eighty-nine million, eight hundred sixty-one thousand, one hundred twenty".