30345104000 has 128 divisors (see below), whose sum is σ = 76574272320. Its totient is φ = 11956454400.

The previous prime is 30345103979. The next prime is 30345104047. The reversal of 30345104000 is 40154303.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 1057847 + ... + 1086153.

Almost surely, 2^30345104000 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 30345104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38287136160).

30345104000 is an abundant number, since it is smaller than the sum of its proper divisors (46229168320).

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

30345104000 is an equidigital number, since it uses as much as digits as its factorization.

30345104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28403 (or 28381 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 30345104000 its reverse (40154303), we get a palindrome (30385258303).

The spelling of 30345104000 in words is "thirty billion, three hundred forty-five million, one hundred four thousand".