3630668685336 has 1536 divisors, whose sum is σ = 14106982809600. Its totient is φ = 838594944000.

The previous prime is 3630668685323. The next prime is 3630668685341. The reversal of 3630668685336 is 6335868660363.

3630668685336 is a `hidden beast` number, since 3 + 6 + 30 + 6 + 6 + 8 + 68 + 533 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8423825041 + ... + 8423825471.

It is an arithmetic number, because the mean of its divisors is an integer number (9184233600).

Almost surely, 2^{3630668685336} is an apocalyptic number.

3630668685336 is a gapful number since it is divisible by the number (36) 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 3630668685336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053491404800).

3630668685336 is an abundant number, since it is smaller than the sum of its proper divisors (10476314124264).

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

3630668685336 is a wasteful number, since it uses less digits than its factorization.

3630668685336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 63.

The spelling of 3630668685336 in words is "three trillion, six hundred thirty billion, six hundred sixty-eight million, six hundred eighty-five thousand, three hundred thirty-six".