30735300960 has 1728 divisors, whose sum is σ = 146251490112. Its totient is φ = 6019743744.

The previous prime is 30735300941. The next prime is 30735301001. The reversal of 30735300960 is 6900353703.

30735300960 is a `hidden beast` number, since 30 + 7 + 3 + 530 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 421031484 + ... + 421031556.

It is an arithmetic number, because the mean of its divisors is an integer number (84636279).

Almost surely, 2^30735300960 is an apocalyptic number.

30735300960 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 30735300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73125745056).

30735300960 is an abundant number, since it is smaller than the sum of its proper divisors (115516189152).

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

30735300960 is a wasteful number, since it uses less digits than its factorization.

30735300960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The spelling of 30735300960 in words is "thirty billion, seven hundred thirty-five million, three hundred thousand, nine hundred sixty".