30635383968 has 288 divisors, whose sum is σ = 104191266816. Its totient is φ = 8348465664.

The previous prime is 30635383943. The next prime is 30635383969. The reversal of 30635383968 is 86938353603.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (30635383969) 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 47 ways as a sum of consecutive naturals, for example, 21467671 + ... + 21469097.

It is an arithmetic number, because the mean of its divisors is an integer number (361775232).

Almost surely, 2^30635383968 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 30635383968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52095633408).

30635383968 is an abundant number, since it is smaller than the sum of its proper divisors (73555882848).

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

30635383968 is a wasteful number, since it uses less digits than its factorization.

30635383968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 30635383968 in words is "thirty billion, six hundred thirty-five million, three hundred eighty-three thousand, nine hundred sixty-eight".