30406638600 has 1152 divisors, whose sum is σ = 127960560000. Its totient is φ = 6628884480.

The previous prime is 30406638599. The next prime is 30406638623. The reversal of 30406638600 is 683660403.

30406638600 is a `hidden beast` number, since 3 + 0 + 40 + 6 + 6 + 3 + 8 + 600 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 204071326 + ... + 204071474.

It is an arithmetic number, because the mean of its divisors is an integer number (111076875).

Almost surely, 2^30406638600 is an apocalyptic number.

30406638600 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 30406638600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63980280000).

30406638600 is an abundant number, since it is smaller than the sum of its proper divisors (97553921400).

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

30406638600 is a wasteful number, since it uses less digits than its factorization.

30406638600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 30406638600 in words is "thirty billion, four hundred six million, six hundred thirty-eight thousand, six hundred".