384442373280 has 576 divisors, whose sum is σ = 1530738155520. Its totient is φ = 80559360000.

The previous prime is 384442373279. The next prime is 384442373303. The reversal of 384442373280 is 82373244483.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13839405 + ... + 13867155.

It is an arithmetic number, because the mean of its divisors is an integer number (2657531520).

Almost surely, 2^384442373280 is an apocalyptic number.

384442373280 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 384442373280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765369077760).

384442373280 is an abundant number, since it is smaller than the sum of its proper divisors (1146295782240).

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

384442373280 is a wasteful number, since it uses less digits than its factorization.

384442373280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27833 (or 27818 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 384442373280 in words is "three hundred eighty-four billion, four hundred forty-two million, three hundred seventy-three thousand, two hundred eighty".