344723341149360 has 320 divisors, whose sum is σ = 1249970303923200. Its totient is φ = 87151293960192.

The previous prime is 344723341149353. The next prime is 344723341149361. The reversal of 344723341149360 is 63941143327443.

344723341149360 is a `hidden beast` number, since 3 + 4 + 4 + 7 + 233 + 4 + 1 + 1 + 49 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 344723341149297 and 344723341149306.

It is not an unprimeable number, because it can be changed into a prime (344723341149361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25089150 + ... + 36316829.

It is an arithmetic number, because the mean of its divisors is an integer number (3906157199760).

Almost surely, 2^{344723341149360} is an apocalyptic number.

344723341149360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344723341149360 is an abundant number, since it is smaller than the sum of its proper divisors (905246962773840).

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

344723341149360 is a wasteful number, since it uses less digits than its factorization.

344723341149360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61406137 (or 61406125 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 344723341149360 in words is "three hundred forty-four trillion, seven hundred twenty-three billion, three hundred forty-one million, one hundred forty-nine thousand, three hundred sixty".