4285344000 has 432 divisors, whose sum is σ = 16575826176. Its totient is φ = 978432000.

The previous prime is 4285343989. The next prime is 4285344017. The reversal of 4285344000 is 4435824.

4285344000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4703545 + ... + 4704455.

It is an arithmetic number, because the mean of its divisors is an integer number (38369968).

Almost surely, 2^4285344000 is an apocalyptic number.

4285344000 is a gapful number since it is divisible by the number (40) 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 4285344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8287913088).

4285344000 is an abundant number, since it is smaller than the sum of its proper divisors (12290482176).

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

4285344000 is an equidigital number, since it uses as much as digits as its factorization.

4285344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4285344000 is about 65462.5389058506. The cubic root of 4285344000 is about 1624.2837395630.

Adding to 4285344000 its reverse (4435824), we get a palindrome (4289779824).

The spelling of 4285344000 in words is "four billion, two hundred eighty-five million, three hundred forty-four thousand".