3662672 has 20 divisors (see below), whose sum is σ = 7642740. Its totient is φ = 1690368.

The previous prime is 3662657. The next prime is 3662683. The reversal of 3662672 is 2762663.

It can be written as a sum of positive squares in 2 ways, for example, as 1577536 + 2085136 = 1256^2 + 1444^2 .

It is a d-powerful number, because it can be written as 3⁸ + 6⁷ + 6⁸ + 2³ + 6⁸ + 7⁵ + 2⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8597 + ... + 9012.

It is an arithmetic number, because the mean of its divisors is an integer number (382137).

Almost surely, 2^3662672 is an apocalyptic number.

It is an amenable number.

3662672 is an abundant number, since it is smaller than the sum of its proper divisors (3980068).

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

3662672 is a wasteful number, since it uses less digits than its factorization.

3662672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17630 (or 17624 counting only the distinct ones).

The product of its digits is 18144, while the sum is 32.

The square root of 3662672 is about 1913.8108579481. The cubic root of 3662672 is about 154.1461478738.

Subtracting from 3662672 its reverse (2762663), we obtain a palindrome (900009).

It can be divided in two parts, 3662 and 672, that added together give a palindrome (4334).

The spelling of 3662672 in words is "three million, six hundred sixty-two thousand, six hundred seventy-two".