4005308352 has 112 divisors (see below), whose sum is σ = 10737413120. Its totient is φ = 1317593088.

The previous prime is 4005308269. The next prime is 4005308353. The reversal of 4005308352 is 2538035004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005308353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5951088 + ... + 5951760.

It is an arithmetic number, because the mean of its divisors is an integer number (95869760).

Almost surely, 2^4005308352 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 4005308352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368706560).

4005308352 is an abundant number, since it is smaller than the sum of its proper divisors (6732104768).

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

4005308352 is a wasteful number, since it uses less digits than its factorization.

4005308352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4005308352 is about 63287.5054967408. The cubic root of 4005308352 is about 1588.1029485293.

The spelling of 4005308352 in words is "four billion, five million, three hundred eight thousand, three hundred fifty-two".