384109506 has 64 divisors (see below), whose sum is σ = 956396160. Its totient is φ = 113244480.

The previous prime is 384109501. The next prime is 384109507. The reversal of 384109506 is 605901483.

It is a super-2 number, since 2×384109506² = 295080225199128072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (384109501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13240 + ... + 30716.

It is an arithmetic number, because the mean of its divisors is an integer number (14943690).

Almost surely, 2^384109506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384109506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478198080).

384109506 is an abundant number, since it is smaller than the sum of its proper divisors (572286654).

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

384109506 is a wasteful number, since it uses less digits than its factorization.

384109506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17536 (or 17530 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 384109506 is about 19598.7118454249. The cubic root of 384109506 is about 726.9173227911.

The spelling of 384109506 in words is "three hundred eighty-four million, one hundred nine thousand, five hundred six".