384185160 has 128 divisors (see below), whose sum is σ = 1291161600. Its totient is φ = 101606400.

The previous prime is 384185147. The next prime is 384185183. The reversal of 384185160 is 61581483.

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 31 ways as a sum of consecutive naturals, for example, 135760 + ... + 138560.

It is an arithmetic number, because the mean of its divisors is an integer number (10087200).

Almost surely, 2^384185160 is an apocalyptic number.

384185160 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 384185160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645580800).

384185160 is an abundant number, since it is smaller than the sum of its proper divisors (906976440).

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

384185160 is a wasteful number, since it uses less digits than its factorization.

384185160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 384185160 is about 19600.6418262260. The cubic root of 384185160 is about 726.9650440720.

The spelling of 384185160 in words is "three hundred eighty-four million, one hundred eighty-five thousand, one hundred sixty".