4363872000 has 288 divisors, whose sum is σ = 14647336704. Its totient is φ = 1151488000.

The previous prime is 4363871989. The next prime is 4363872053. The reversal of 4363872000 is 2783634.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12575827 + ... + 12576173.

It is an arithmetic number, because the mean of its divisors is an integer number (50858808).

Almost surely, 2^4363872000 is an apocalyptic number.

4363872000 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 4363872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7323668352).

4363872000 is an abundant number, since it is smaller than the sum of its proper divisors (10283464704).

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

4363872000 is a wasteful number, since it uses less digits than its factorization.

4363872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 4363872000 is about 66059.6094448037. The cubic root of 4363872000 is about 1634.1452948429.

The spelling of 4363872000 in words is "four billion, three hundred sixty-three million, eight hundred seventy-two thousand".