8340384 has 96 divisors (see below), whose sum is σ = 24300864. Its totient is φ = 2488320.

The previous prime is 8340349. The next prime is 8340401. The reversal of 8340384 is 4830438.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51087 + ... + 51249.

It is an arithmetic number, because the mean of its divisors is an integer number (253134).

Almost surely, 2^8340384 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 8340384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12150432).

8340384 is an abundant number, since it is smaller than the sum of its proper divisors (15960480).

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

8340384 is a wasteful number, since it uses less digits than its factorization.

8340384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 8340384 is about 2887.9722990361. The cubic root of 8340384 is about 202.7972285061.

The spelling of 8340384 in words is "eight million, three hundred forty thousand, three hundred eighty-four".