3630475968 has 224 divisors, whose sum is σ = 11485839360. Its totient is φ = 990213120.

The previous prime is 3630475909. The next prime is 3630475973. The reversal of 3630475968 is 8695740363.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 3630475968.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3290905 + ... + 3292007.

Almost surely, 2^3630475968 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 3630475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742919680).

3630475968 is an abundant number, since it is smaller than the sum of its proper divisors (7855363392).

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

3630475968 is a wasteful number, since it uses less digits than its factorization.

3630475968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The square root of 3630475968 is about 60253.4311720088. The cubic root of 3630475968 is about 1536.9315367170.

The spelling of 3630475968 in words is "three billion, six hundred thirty million, four hundred seventy-five thousand, nine hundred sixty-eight".