384107360 has 384 divisors, whose sum is σ = 1235533824. Its totient is φ = 109486080.

The previous prime is 384107351. The next prime is 384107369. The reversal of 384107360 is 63701483.

It is an interprime number because it is at equal distance from previous prime (384107351) and next prime (384107369).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384107369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10381262 + ... + 10381298.

It is an arithmetic number, because the mean of its divisors is an integer number (3217536).

Almost surely, 2^384107360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384107360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617766912).

384107360 is an abundant number, since it is smaller than the sum of its proper divisors (851426464).

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

384107360 is a wasteful number, since it uses less digits than its factorization.

384107360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 384107360 is about 19598.6570968523. The cubic root of 384107360 is about 726.9159690387.

The spelling of 384107360 in words is "three hundred eighty-four million, one hundred seven thousand, three hundred sixty".