30864936600 has 288 divisors, whose sum is σ = 108868032000. Its totient is φ = 8125453440.

The previous prime is 30864936581. The next prime is 30864936601. The reversal of 30864936600 is 663946803.

30864936600 is a `hidden beast` number, since 3 + 0 + 8 + 6 + 4 + 9 + 36 + 600 = 666.

It is a super-2 number, since 2×30864936600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30864936601) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3835381 + ... + 3843419.

It is an arithmetic number, because the mean of its divisors is an integer number (378014000).

Almost surely, 2^30864936600 is an apocalyptic number.

30864936600 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 30864936600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54434016000).

30864936600 is an abundant number, since it is smaller than the sum of its proper divisors (78003095400).

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

30864936600 is a wasteful number, since it uses less digits than its factorization.

30864936600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8149 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 30864936600 in words is "thirty billion, eight hundred sixty-four million, nine hundred thirty-six thousand, six hundred".