30345030400 has 108 divisors (see below), whose sum is σ = 75545602272. Its totient is φ = 12067409920.

The previous prime is 30345030361. The next prime is 30345030407. The reversal of 30345030400 is 403054303.

It is not an unprimeable number, because it can be changed into a prime (30345030407) 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 11 ways as a sum of consecutive naturals, for example, 1093497 + ... + 1120903.

Almost surely, 2^30345030400 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 30345030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37772801136).

30345030400 is an abundant number, since it is smaller than the sum of its proper divisors (45200571872).

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

30345030400 is a wasteful number, since it uses less digits than its factorization.

30345030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27606 (or 27587 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

Adding to 30345030400 its reverse (403054303), we get a palindrome (30748084703).

The spelling of 30345030400 in words is "thirty billion, three hundred forty-five million, thirty thousand, four hundred".