3667560 has 64 divisors (see below), whose sum is σ = 11854080. Its totient is φ = 902400.

The previous prime is 3667553. The next prime is 3667561. The reversal of 3667560 is 657663.

3667560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3667561) 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, 385 + ... + 2735.

It is an arithmetic number, because the mean of its divisors is an integer number (185220).

Almost surely, 2^3667560 is an apocalyptic number.

3667560 is a gapful number since it is divisible by the number (30) 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 3667560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927040).

3667560 is an abundant number, since it is smaller than the sum of its proper divisors (8186520).

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

3667560 is a wasteful number, since it uses less digits than its factorization.

3667560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 3667560 is about 1915.0874653655. The cubic root of 3667560 is about 154.2146890409.

The spelling of 3667560 in words is "three million, six hundred sixty-seven thousand, five hundred sixty".