3667664 has 80 divisors (see below), whose sum is σ = 9582720. Its totient is φ = 1313280.

The previous prime is 3667637. The next prime is 3667669. The reversal of 3667664 is 4667663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15902 + ... + 16130.

It is an arithmetic number, because the mean of its divisors is an integer number (119784).

Almost surely, 2^3667664 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 3667664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791360).

3667664 is an abundant number, since it is smaller than the sum of its proper divisors (5915056).

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

3667664 is a wasteful number, since it uses less digits than its factorization.

3667664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its digits is 108864, while the sum is 38.

The square root of 3667664 is about 1915.1146179798. The cubic root of 3667664 is about 154.2161467018.

Subtracting 3667664 from its reverse (4667663), we obtain a palindrome (999999).

The spelling of 3667664 in words is "three million, six hundred sixty-seven thousand, six hundred sixty-four".