3806384 has 30 divisors (see below), whose sum is σ = 7795260. Its totient is φ = 1800288.

The previous prime is 3806347. The next prime is 3806423. The reversal of 3806384 is 4836083.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3806384.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5447 + ... + 6105.

It is an arithmetic number, because the mean of its divisors is an integer number (259842).

Almost surely, 2^3806384 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 3806384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897630).

3806384 is an abundant number, since it is smaller than the sum of its proper divisors (3988876).

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

3806384 is a wasteful number, since it uses less digits than its factorization.

3806384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 3806384 is about 1950.9956432550. The cubic root of 3806384 is about 156.1364136615.

The spelling of 3806384 in words is "three million, eight hundred six thousand, three hundred eighty-four".