4238656800 has 576 divisors, whose sum is σ = 16998912000. Its totient is φ = 914457600.

The previous prime is 4238656783. The next prime is 4238656811. The reversal of 4238656800 is 86568324.

It is a super-2 number, since 2×4238656800² = 35932422936372480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15640665 + ... + 15640935.

It is an arithmetic number, because the mean of its divisors is an integer number (29512000).

Almost surely, 2^4238656800 is an apocalyptic number.

4238656800 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 4238656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8499456000).

4238656800 is an abundant number, since it is smaller than the sum of its proper divisors (12760255200).

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

4238656800 is a wasteful number, since it uses less digits than its factorization.

4238656800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 4238656800 is about 65104.9675524072. The cubic root of 4238656800 is about 1618.3635356942.

The spelling of 4238656800 in words is "four billion, two hundred thirty-eight million, six hundred fifty-six thousand, eight hundred".