30345280992 has 192 divisors, whose sum is σ = 98391121920. Its totient is φ = 9035712000.

The previous prime is 30345280991. The next prime is 30345280997. The reversal of 30345280992 is 29908254303.

It is a happy number.

30345280992 is a `hidden beast` number, since 3 + 0 + 34 + 528 + 0 + 9 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30345280991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304617 + ... + 391767.

It is an arithmetic number, because the mean of its divisors is an integer number (512453760).

Almost surely, 2^30345280992 is an apocalyptic number.

30345280992 is a gapful number since it is divisible by the number (32) 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 30345280992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49195560960).

30345280992 is an abundant number, since it is smaller than the sum of its proper divisors (68045840928).

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

30345280992 is a wasteful number, since it uses less digits than its factorization.

30345280992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87214 (or 87200 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 30345280992 in words is "thirty billion, three hundred forty-five million, two hundred eighty thousand, nine hundred ninety-two".