4384490880 has 512 divisors, whose sum is σ = 17823006720. Its totient is φ = 890265600.

The previous prime is 4384490827. The next prime is 4384490911. The reversal of 4384490880 is 880944834.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6948165 + ... + 6948795.

It is an arithmetic number, because the mean of its divisors is an integer number (34810560).

Almost surely, 2^4384490880 is an apocalyptic number.

4384490880 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 4384490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8911503360).

4384490880 is an abundant number, since it is smaller than the sum of its proper divisors (13438515840).

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

4384490880 is a wasteful number, since it uses less digits than its factorization.

4384490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 4384490880 is about 66215.4882183919. The cubic root of 4384490880 is about 1636.7149789240.

The spelling of 4384490880 in words is "four billion, three hundred eighty-four million, four hundred ninety thousand, eight hundred eighty".