30806430000 has 200 divisors, whose sum is σ = 103773381888. Its totient is φ = 7857696000.

The previous prime is 30806429999. The next prime is 30806430001. The reversal of 30806430000 is 3460803.

It is an interprime number because it is at equal distance from previous prime (30806429999) and next prime (30806430001).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×30806430000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30806430001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 667677 + ... + 712323.

Almost surely, 2^30806430000 is an apocalyptic number.

30806430000 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 30806430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51886690944).

30806430000 is an abundant number, since it is smaller than the sum of its proper divisors (72966951888).

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

30806430000 is a wasteful number, since it uses less digits than its factorization.

30806430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44701 (or 44680 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 30806430000 its reverse (3460803), we get a palindrome (30809890803).

The spelling of 30806430000 in words is "thirty billion, eight hundred six million, four hundred thirty thousand".