4238208000 has 528 divisors, whose sum is σ = 16505632416. Its totient is φ = 1039564800.

The previous prime is 4238207989. The next prime is 4238208019. The reversal of 4238208000 is 8028324.

4238208000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 14975859 + ... + 14976141.

Almost surely, 2^4238208000 is an apocalyptic number.

4238208000 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 4238208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8252816208).

4238208000 is an abundant number, since it is smaller than the sum of its proper divisors (12267424416).

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

4238208000 is a wasteful number, since it uses less digits than its factorization.

4238208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4238208000 is about 65101.5207195654. The cubic root of 4238208000 is about 1618.3064148321.

The spelling of 4238208000 in words is "four billion, two hundred thirty-eight million, two hundred eight thousand".