3673600 has 120 divisors (see below), whose sum is σ = 10655568. Its totient is φ = 1228800.

The previous prime is 3673597. The next prime is 3673601. The reversal of 3673600 is 63763.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89580 + ... + 89620.

Almost surely, 2^3673600 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 3673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327784).

3673600 is an abundant number, since it is smaller than the sum of its proper divisors (6981968).

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

3673600 is an equidigital number, since it uses as much as digits as its factorization.

3673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 3673600 is about 1916.6637681138. The cubic root of 3673600 is about 154.2992998684.

The spelling of 3673600 in words is "three million, six hundred seventy-three thousand, six hundred".