3667760 has 60 divisors (see below), whose sum is σ = 9070848. Its totient is φ = 1378944.

The previous prime is 3667753. The next prime is 3667823. The reversal of 3667760 is 677663.

3667760 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3667760.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28817 + ... + 28943.

Almost surely, 2^3667760 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 3667760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535424).

3667760 is an abundant number, since it is smaller than the sum of its proper divisors (5403088).

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

3667760 is a wasteful number, since it uses less digits than its factorization.

3667760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 35.

The square root of 3667760 is about 1915.1396815898. The cubic root of 3667760 is about 154.2174922105.

The spelling of 3667760 in words is "three million, six hundred sixty-seven thousand, seven hundred sixty".