4238688000 has 288 divisors, whose sum is σ = 14310616320. Its totient is φ = 1111756800.

The previous prime is 4238687951. The next prime is 4238688037. The reversal of 4238688000 is 8868324.

4238688000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4238688000² = 35932951922688000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4238688000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6431671 + ... + 6432329.

It is an arithmetic number, because the mean of its divisors is an integer number (49689640).

Almost surely, 2^4238688000 is an apocalyptic number.

4238688000 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 4238688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155308160).

4238688000 is an abundant number, since it is smaller than the sum of its proper divisors (10071928320).

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

4238688000 is an equidigital number, since it uses as much as digits as its factorization.

4238688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4238688000 is about 65105.2071650187. The cubic root of 4238688000 is about 1618.3675065133.

The spelling of 4238688000 in words is "four billion, two hundred thirty-eight million, six hundred eighty-eight thousand".