3606800 has 60 divisors (see below), whose sum is σ = 8856576. Its totient is φ = 1411200.

The previous prime is 3606781. The next prime is 3606829. The reversal of 3606800 is 86063.

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, 28337 + ... + 28463.

Almost surely, 2^3606800 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 3606800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428288).

3606800 is an abundant number, since it is smaller than the sum of its proper divisors (5249776).

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

3606800 is a wasteful number, since it uses less digits than its factorization.

3606800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3606800 is about 1899.1577080380. The cubic root of 3606800 is about 153.3583240091.

The spelling of 3606800 in words is "three million, six hundred six thousand, eight hundred".