344997999360 has 1440 divisors, whose sum is σ = 1504363069440. Its totient is φ = 73741860864.

The previous prime is 344997999329. The next prime is 344997999443. The reversal of 344997999360 is 63999799443.

344997999360 is a `hidden beast` number, since 3 + 4 + 499 + 79 + 9 + 9 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1751258782 + ... + 1751258978.

It is an arithmetic number, because the mean of its divisors is an integer number (1044696576).

Almost surely, 2^344997999360 is an apocalyptic number.

344997999360 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 344997999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752181534720).

344997999360 is an abundant number, since it is smaller than the sum of its proper divisors (1159365070080).

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

344997999360 is a wasteful number, since it uses less digits than its factorization.

344997999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 357128352, while the sum is 72.

The spelling of 344997999360 in words is "three hundred forty-four billion, nine hundred ninety-seven million, nine hundred ninety-nine thousand, three hundred sixty".