3806600 has 48 divisors (see below), whose sum is σ = 10118400. Its totient is φ = 1304640.

The previous prime is 3806599. The next prime is 3806609. The reversal of 3806600 is 66083.

3806600 = 126² + 127² + ... + 237².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (210800).

Almost surely, 2^3806600 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 3806600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059200).

3806600 is an abundant number, since it is smaller than the sum of its proper divisors (6311800).

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

3806600 is a wasteful number, since it uses less digits than its factorization.

3806600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3806600 is about 1951.0509988209. The cubic root of 3806600 is about 156.1393670180.

The spelling of 3806600 in words is "three million, eight hundred six thousand, six hundred".