3684784 has 80 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 1520640.

The previous prime is 3684781. The next prime is 3684809. The reversal of 3684784 is 4874863.

3684784 is nontrivially palindromic in base 15.

It is not an unprimeable number, because it can be changed into a prime (3684781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118849 + ... + 118879.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

Almost surely, 2^3684784 is an apocalyptic number.

3684784 is a gapful number since it is divisible by the number (34) 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 3684784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285440).

3684784 is an abundant number, since it is smaller than the sum of its proper divisors (4886096).

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

3684784 is a wasteful number, since it uses less digits than its factorization.

3684784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 3684784 is about 1919.5791205366. The cubic root of 3684784 is about 154.4557254535.

The spelling of 3684784 in words is "three million, six hundred eighty-four thousand, seven hundred eighty-four".