384549120 has 180 divisors, whose sum is σ = 1376358060. Its totient is φ = 102518784.

The previous prime is 384549107. The next prime is 384549131. The reversal of 384549120 is 21945483.

It can be written as a sum of positive squares in 2 ways, for example, as 119771136 + 264777984 = 10944^2 + 16272^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101826 + ... + 105534.

Almost surely, 2^384549120 is an apocalyptic number.

384549120 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 384549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688179030).

384549120 is an abundant number, since it is smaller than the sum of its proper divisors (991808940).

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

384549120 is an equidigital number, since it uses as much as digits as its factorization.

384549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 384549120 is about 19609.9240182108. The cubic root of 384549120 is about 727.1945364423.

It can be divided in two parts, 38454 and 9120, that added together give a palindrome (47574).

The spelling of 384549120 in words is "three hundred eighty-four million, five hundred forty-nine thousand, one hundred twenty".