344855994480 has 320 divisors, whose sum is σ = 1207213269120. Its totient is φ = 90473693184.

The previous prime is 344855994479. The next prime is 344855994503. The reversal of 344855994480 is 84499558443.

344855994480 is a `hidden beast` number, since 34 + 4 + 8 + 5 + 599 + 4 + 4 + 8 + 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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33433804 + ... + 33444116.

It is an arithmetic number, because the mean of its divisors is an integer number (3772541466).

Almost surely, 2^344855994480 is an apocalyptic number.

344855994480 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 344855994480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603606634560).

344855994480 is an abundant number, since it is smaller than the sum of its proper divisors (862357274640).

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

344855994480 is a wasteful number, since it uses less digits than its factorization.

344855994480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10585 (or 10573 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 344855994480 in words is "three hundred forty-four billion, eight hundred fifty-five million, nine hundred ninety-four thousand, four hundred eighty".