3864672 has 144 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 1088640.

The previous prime is 3864671. The next prime is 3864673. The reversal of 3864672 is 2764683.

3864672 is a `hidden beast` number, since 3 + 8 + 646 + 7 + 2 = 666.

3864672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3864671) and next prime (3864673).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864671) 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 23 ways as a sum of consecutive naturals, for example, 54397 + ... + 54467.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

Almost surely, 2^3864672 is an apocalyptic number.

3864672 is a gapful number since it is divisible by the number (32) 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 3864672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

3864672 is an abundant number, since it is smaller than the sum of its proper divisors (9344160).

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

3864672 is an equidigital number, since it uses as much as digits as its factorization.

3864672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3864672 is about 1965.8769035726. The cubic root of 3864672 is about 156.9293636023.

The spelling of 3864672 in words is "three million, eight hundred sixty-four thousand, six hundred seventy-two".