4385820768 has 288 divisors, whose sum is σ = 14102242560. Its totient is φ = 1168819200.

The previous prime is 4385820767. The next prime is 4385820823. The reversal of 4385820768 is 8670285834.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4385820768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4385820767) 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 47 ways as a sum of consecutive naturals, for example, 24501703 + ... + 24501881.

It is an arithmetic number, because the mean of its divisors is an integer number (48966120).

Almost surely, 2^4385820768 is an apocalyptic number.

4385820768 is a gapful number since it is divisible by the number (48) 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 4385820768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051121280).

4385820768 is an abundant number, since it is smaller than the sum of its proper divisors (9716421792).

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

4385820768 is a wasteful number, since it uses less digits than its factorization.

4385820768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 4385820768 is about 66225.5295788565. The cubic root of 4385820768 is about 1636.8804430288.

The spelling of 4385820768 in words is "four billion, three hundred eighty-five million, eight hundred twenty thousand, seven hundred sixty-eight".