3630003660 has 120 divisors (see below), whose sum is σ = 11780279280. Its totient is φ = 934609536.

The previous prime is 3630003647. The next prime is 3630003661. The reversal of 3630003660 is 663000363.

It is a super-2 number, since 2×3630003660² = 26353853143226791200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3630003661) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8347 + ... + 85613.

It is an arithmetic number, because the mean of its divisors is an integer number (98168994).

Almost surely, 2^3630003660 is an apocalyptic number.

3630003660 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 3630003660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890139640).

3630003660 is an abundant number, since it is smaller than the sum of its proper divisors (8150275620).

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

3630003660 is a wasteful number, since it uses less digits than its factorization.

3630003660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77317 (or 77306 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3630003660 is about 60249.5116992661. The cubic root of 3630003660 is about 1536.8648846170.

The spelling of 3630003660 in words is "three billion, six hundred thirty million, three thousand, six hundred sixty".