30345989688 has 576 divisors, whose sum is σ = 109051488000. Its totient is φ = 7856823744.

The previous prime is 30345989659. The next prime is 30345989719. The reversal of 30345989688 is 88698954303.

30345989688 is a `hidden beast` number, since 3 + 0 + 34 + 598 + 9 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1319390845 + ... + 1319390867.

It is an arithmetic number, because the mean of its divisors is an integer number (189325500).

Almost surely, 2^30345989688 is an apocalyptic number.

30345989688 is a gapful number since it is divisible by the number (38) 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 30345989688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54525744000).

30345989688 is an abundant number, since it is smaller than the sum of its proper divisors (78705498312).

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

30345989688 is an equidigital number, since it uses as much as digits as its factorization.

30345989688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 30345989688 in words is "thirty billion, three hundred forty-five million, nine hundred eighty-nine thousand, six hundred eighty-eight".