4223836800 has 768 divisors, whose sum is σ = 16998912000. Its totient is φ = 1020211200.

The previous prime is 4223836777. The next prime is 4223836807. The reversal of 4223836800 is 86383224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4223836807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50889559 + ... + 50889641.

It is an arithmetic number, because the mean of its divisors is an integer number (22134000).

Almost surely, 2^4223836800 is an apocalyptic number.

4223836800 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 4223836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8499456000).

4223836800 is an abundant number, since it is smaller than the sum of its proper divisors (12775075200).

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

4223836800 is a wasteful number, since it uses less digits than its factorization.

4223836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4223836800 is about 64991.0516917522. The cubic root of 4223836800 is about 1616.4751894716.

The spelling of 4223836800 in words is "four billion, two hundred twenty-three million, eight hundred thirty-six thousand, eight hundred".