30345214032 has 560 divisors, whose sum is σ = 109639966720. Its totient is φ = 7936185600.

The previous prime is 30345214027. The next prime is 30345214033. The reversal of 30345214032 is 23041254303.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30345213987 and 30345214005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30345214033) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48090357 + ... + 48090987.

Almost surely, 2^30345214032 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 30345214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54819983360).

30345214032 is an abundant number, since it is smaller than the sum of its proper divisors (79294752688).

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

30345214032 is a wasteful number, since it uses less digits than its factorization.

30345214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 30345214032 its reverse (23041254303), we get a palindrome (53386468335).

The spelling of 30345214032 in words is "thirty billion, three hundred forty-five million, two hundred fourteen thousand, thirty-two".