344418744384 has 1323 divisors, whose sum is σ = 1287216473949. Its totient is φ = 91270333440.

The previous prime is 344418744379. The next prime is 344418744389. The reversal of 344418744384 is 483447814443.

The square root of 344418744384 is 586872.

It is a perfect power (a square), and thus also a powerful number.

344418744384 is a `hidden beast` number, since 3 + 4 + 4 + 41 + 87 + 443 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (344418744379) and next prime (344418744389).

It can be written as a sum of positive squares in only one way, i.e., 50949518400 + 293469225984 = 225720^2 + 541728^2 .

It is a super-2 number, since 2×344418744384² (a number of 24 digits) contains 22 as substring.

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

Its product of digits (16515072) is a multiple of the sum of its prime divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 344418744384.

It is not an unprimeable number, because it can be changed into a prime (344418744389) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 18127302327 + ... + 18127302345.

Almost surely, 2^344418744384 is an apocalyptic number.

344418744384 is the 586872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344418744384

344418744384 is an abundant number, since it is smaller than the sum of its proper divisors (942797729565).

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

344418744384 is a wasteful number, since it uses less digits than its factorization.

344418744384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 48 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 54.

The spelling of 344418744384 in words is "three hundred forty-four billion, four hundred eighteen million, seven hundred forty-four thousand, three hundred eighty-four".