3806784 has 56 divisors (see below), whose sum is σ = 11196320. Its totient is φ = 1268352.

The previous prime is 3806767. The next prime is 3806837. The reversal of 3806784 is 4876083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627 + ... + 2829.

Almost surely, 2^3806784 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 3806784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598160).

3806784 is an abundant number, since it is smaller than the sum of its proper divisors (7389536).

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

3806784 is a wasteful number, since it uses less digits than its factorization.

3806784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3806784 is about 1951.0981523235. The cubic root of 3806784 is about 156.1418827522.

The spelling of 3806784 in words is "three million, eight hundred six thousand, seven hundred eighty-four".