4705385344 has 128 divisors (see below), whose sum is σ = 10720281600. Its totient is φ = 2037657600.

The previous prime is 4705385329. The next prime is 4705385369. The reversal of 4705385344 is 4435835074.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4705385344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2923612 + ... + 2925220.

It is an arithmetic number, because the mean of its divisors is an integer number (83752200).

Almost surely, 2^4705385344 is an apocalyptic number.

4705385344 is a gapful number since it is divisible by the number (44) 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 4705385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360140800).

4705385344 is an abundant number, since it is smaller than the sum of its proper divisors (6014896256).

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

4705385344 is a wasteful number, since it uses less digits than its factorization.

4705385344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 43.

The square root of 4705385344 is about 68595.8114173161. The cubic root of 4705385344 is about 1675.7082139477.

The spelling of 4705385344 in words is "four billion, seven hundred five million, three hundred eighty-five thousand, three hundred forty-four".