3649600 has 42 divisors (see below), whose sum is σ = 8984234. Its totient is φ = 1459200.

The previous prime is 3649579. The next prime is 3649601. The reversal of 3649600 is 69463.

It can be written as a sum of positive squares in 3 ways, for example, as 322624 + 3326976 = 568^2 + 1824^2 .

It is not an unprimeable number, because it can be changed into a prime (3649601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 460 + ... + 2740.

Almost surely, 2^3649600 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 3649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492117).

3649600 is an abundant number, since it is smaller than the sum of its proper divisors (5334634).

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

3649600 is a wasteful number, since it uses less digits than its factorization.

3649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 3649600 is about 1910.3926298015. The cubic root of 3649600 is about 153.9625478161.

The spelling of 3649600 in words is "three million, six hundred forty-nine thousand, six hundred".