4089384000 has 672 divisors, whose sum is σ = 16745260896. Its totient is φ = 943718400.

The previous prime is 4089383981. The next prime is 4089384001. The reversal of 4089384000 is 4839804.

4089384000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1759970304 + 2329413696 = 41952^2 + 48264^2 .

It is a super-2 number, since 2×4089384000² = 33446122998912000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4089384001) 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, 15911872 + ... + 15912128.

It is an arithmetic number, because the mean of its divisors is an integer number (24918543).

Almost surely, 2^4089384000 is an apocalyptic number.

4089384000 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 4089384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372630448).

4089384000 is an abundant number, since it is smaller than the sum of its proper divisors (12655876896).

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

4089384000 is a wasteful number, since it uses less digits than its factorization.

4089384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4089384000 is about 63948.2916112698. The cubic root of 4089384000 is about 1599.1380774310.

The spelling of 4089384000 in words is "four billion, eighty-nine million, three hundred eighty-four thousand".