3664872 has 96 divisors (see below), whose sum is σ = 10972800. Its totient is φ = 1132704.

The previous prime is 3664861. The next prime is 3664873. The reversal of 3664872 is 2784663.

3664872 is a `hidden beast` number, since 3 + 6 + 648 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3664873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77953 + ... + 77999.

It is an arithmetic number, because the mean of its divisors is an integer number (114300).

Almost surely, 2^3664872 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 3664872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486400).

3664872 is an abundant number, since it is smaller than the sum of its proper divisors (7307928).

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

3664872 is a wasteful number, since it uses less digits than its factorization.

3664872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

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

The square root of 3664872 is about 1914.3855411071. The cubic root of 3664872 is about 154.1770045498.

The spelling of 3664872 in words is "three million, six hundred sixty-four thousand, eight hundred seventy-two".