3864600 has 144 divisors (see below), whose sum is σ = 13782600. Its totient is φ = 967680.

The previous prime is 3864599. The next prime is 3864607. The reversal of 3864600 is 64683.

3864600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34144 + ... + 34256.

Almost surely, 2^3864600 is an apocalyptic number.

3864600 is a gapful number since it is divisible by the number (30) 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 3864600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891300).

3864600 is an abundant number, since it is smaller than the sum of its proper divisors (9918000).

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

3864600 is a wasteful number, since it uses less digits than its factorization.

3864600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3864600 is about 1965.8585910487. The cubic root of 3864600 is about 156.9283890492.

The spelling of 3864600 in words is "three million, eight hundred sixty-four thousand, six hundred".