384589090080 has 288 divisors, whose sum is σ = 1458959523840. Its totient is φ = 91614136320.

The previous prime is 384589090063. The next prime is 384589090097. The reversal of 384589090080 is 80090985483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (384589090063) and next prime (384589090097).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 384589089999 and 384589090026.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248961 + ... + 911679.

It is an arithmetic number, because the mean of its divisors is an integer number (5065831680).

Almost surely, 2^384589090080 is an apocalyptic number.

384589090080 is a gapful number since it is divisible by the number (30) 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 384589090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729479761920).

384589090080 is an abundant number, since it is smaller than the sum of its proper divisors (1074370433760).

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

384589090080 is a wasteful number, since it uses less digits than its factorization.

384589090080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662784 (or 662773 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 384589090080 in words is "three hundred eighty-four billion, five hundred eighty-nine million, ninety thousand, eighty".