3866800 has 60 divisors (see below), whose sum is σ = 10624816. Its totient is φ = 1324800.

The previous prime is 3866791. The next prime is 3866809. The reversal of 3866800 is 86683.

It is an interprime number because it is at equal distance from previous prime (3866791) and next prime (3866809).

It is not an unprimeable number, because it can be changed into a prime (3866809) 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, 2110 + ... + 3490.

Almost surely, 2^3866800 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 3866800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312408).

3866800 is an abundant number, since it is smaller than the sum of its proper divisors (6758016).

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

3866800 is a wasteful number, since it uses less digits than its factorization.

3866800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 3866800 is about 1966.4180633833. The cubic root of 3866800 is about 156.9581615970.

The spelling of 3866800 in words is "three million, eight hundred sixty-six thousand, eight hundred".