4304009952 has 288 divisors, whose sum is σ = 14556810240. Its totient is φ = 1226741760.

The previous prime is 4304009951. The next prime is 4304009959. The reversal of 4304009952 is 2599004034.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4304009951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2745873 + ... + 2747439.

It is an arithmetic number, because the mean of its divisors is an integer number (50544480).

Almost surely, 2^4304009952 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 4304009952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7278405120).

4304009952 is an abundant number, since it is smaller than the sum of its proper divisors (10252800288).

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

4304009952 is a wasteful number, since it uses less digits than its factorization.

4304009952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4304009952 is about 65604.9537154017. The cubic root of 4304009952 is about 1626.6386565394.

The spelling of 4304009952 in words is "four billion, three hundred four million, nine thousand, nine hundred fifty-two".