30934298880 has 432 divisors, whose sum is σ = 114056377344. Its totient is φ = 7713914880.

The previous prime is 30934298839. The next prime is 30934298881. The reversal of 30934298880 is 8889243903.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30934298881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37405027 + ... + 37405853.

It is an arithmetic number, because the mean of its divisors is an integer number (264019392).

Almost surely, 2^30934298880 is an apocalyptic number.

30934298880 is a gapful number since it is divisible by the number (30) 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 30934298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57028188672).

30934298880 is an abundant number, since it is smaller than the sum of its proper divisors (83122078464).

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

30934298880 is a wasteful number, since it uses less digits than its factorization.

30934298880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 30934298880 in words is "thirty billion, nine hundred thirty-four million, two hundred ninety-eight thousand, eight hundred eighty".