4384832000 has 160 divisors (see below), whose sum is σ = 11038382784. Its totient is φ = 1737216000.

The previous prime is 4384831973. The next prime is 4384832009. The reversal of 4384832000 is 2384834.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4384832009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8383739 + ... + 8384261.

Almost surely, 2^4384832000 is an apocalyptic number.

4384832000 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 4384832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519191392).

4384832000 is an abundant number, since it is smaller than the sum of its proper divisors (6653550784).

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

4384832000 is an equidigital number, since it uses as much as digits as its factorization.

4384832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 4384832000 is about 66218.0640006939. The cubic root of 4384832000 is about 1636.7574241208.

The spelling of 4384832000 in words is "four billion, three hundred eighty-four million, eight hundred thirty-two thousand".