4807003344 has 640 divisors, whose sum is σ = 16798924800. Its totient is φ = 1161216000.

The previous prime is 4807003343. The next prime is 4807003367. The reversal of 4807003344 is 4433007084.

It is a super-3 number, since 3×4807003344³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4807003343) 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 127 ways as a sum of consecutive naturals, for example, 117243964 + ... + 117244004.

It is an arithmetic number, because the mean of its divisors is an integer number (26248320).

Almost surely, 2^4807003344 is an apocalyptic number.

4807003344 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 4807003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8399462400).

4807003344 is an abundant number, since it is smaller than the sum of its proper divisors (11991921456).

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

4807003344 is a wasteful number, since it uses less digits than its factorization.

4807003344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 4807003344 is about 69332.5561623109. The cubic root of 4807003344 is about 1687.6853276404.

The spelling of 4807003344 in words is "four billion, eight hundred seven million, three thousand, three hundred forty-four".