384236160 has 512 divisors, whose sum is σ = 1607454720. Its totient is φ = 75694080.

The previous prime is 384236131. The next prime is 384236189. The reversal of 384236160 is 61632483.

It is an interprime number because it is at equal distance from previous prime (384236131) and next prime (384236189).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 3400264 + ... + 3400376.

It is an arithmetic number, because the mean of its divisors is an integer number (3139560).

Almost surely, 2^384236160 is an apocalyptic number.

384236160 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 384236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803727360).

384236160 is an abundant number, since it is smaller than the sum of its proper divisors (1223218560).

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

384236160 is a wasteful number, since it uses less digits than its factorization.

384236160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 384236160 is about 19601.9427608592. The cubic root of 384236160 is about 726.9972104861.

The spelling of 384236160 in words is "three hundred eighty-four million, two hundred thirty-six thousand, one hundred sixty".