3630900 has 216 divisors, whose sum is σ = 13853280. Its totient is φ = 725760.

The previous prime is 3630883. The next prime is 3630901. The reversal of 3630900 is 90363.

3630900 = T₅₅ + T₅₆ + ... + T₂₇₉.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3630901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 191091 + ... + 191109.

Almost surely, 2^3630900 is an apocalyptic number.

3630900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3630900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926640).

3630900 is an abundant number, since it is smaller than the sum of its proper divisors (10222380).

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

3630900 is a wasteful number, since it uses less digits than its factorization.

3630900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 3630900 is about 1905.4920624343. The cubic root of 3630900 is about 153.6991371184.

The spelling of 3630900 in words is "three million, six hundred thirty thousand, nine hundred".