3630400 has 42 divisors (see below), whose sum is σ = 8936990. Its totient is φ = 1451520.

The previous prime is 3630397. The next prime is 3630433. The reversal of 3630400 is 40363.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 3625216 = 72^2 + 1904^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 466 + ... + 2734.

Almost surely, 2^3630400 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 3630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468495).

3630400 is an abundant number, since it is smaller than the sum of its proper divisors (5306590).

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

3630400 is a wasteful number, since it uses less digits than its factorization.

3630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3630400 is about 1905.3608582103. The cubic root of 3630400 is about 153.6920816504.

Adding to 3630400 its reverse (40363), we get a palindrome (3670763).

The spelling of 3630400 in words is "three million, six hundred thirty thousand, four hundred".