1729465344 has 220 divisors, whose sum is σ = 5350039200. Its totient is φ = 555835392.

The previous prime is 1729465343. The next prime is 1729465349. The reversal of 1729465344 is 4435649271.

1729465344 is a `hidden beast` number, since 1 + 72 + 9 + 46 + 534 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1729465344.

It is not an unprimeable number, because it can be changed into a prime (1729465343) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2405017 + ... + 2405735.

It is an arithmetic number, because the mean of its divisors is an integer number (24318360).

Almost surely, 2^1729465344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1729465344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675019600).

1729465344 is an abundant number, since it is smaller than the sum of its proper divisors (3620573856).

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

1729465344 is an equidigital number, since it uses as much as digits as its factorization.

1729465344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 753 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 1729465344 is about 41586.8409956804. The cubic root of 1729465344 is about 1200.3391041646.

The spelling of 1729465344 in words is "one billion, seven hundred twenty-nine million, four hundred sixty-five thousand, three hundred forty-four".