3600400 has 30 divisors (see below), whose sum is σ = 8650922. Its totient is φ = 1440000.

The previous prime is 3600383. The next prime is 3600407. The reversal of 3600400 is 40063.

It can be written as a sum of positive squares in 3 ways, for example, as 20736 + 3579664 = 144^2 + 1892^2 .

It is not an unprimeable number, because it can be changed into a prime (3600407) 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, 4101 + ... + 4900.

Almost surely, 2^3600400 is an apocalyptic number.

It is an amenable number.

3600400 is an abundant number, since it is smaller than the sum of its proper divisors (5050522).

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

3600400 is a wasteful number, since it uses less digits than its factorization.

3600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9019 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3600400 is about 1897.4720024285. The cubic root of 3600400 is about 153.2675626347.

Adding to 3600400 its reverse (40063), we get a palindrome (3640463).

It can be divided in two parts, 3600 and 400, that multiplied together give a square (1440000 = 1200²).

The spelling of 3600400 in words is "three million, six hundred thousand, four hundred".