30829194000 has 1280 divisors, whose sum is σ = 132368670720. Its totient is φ = 6773760000.

The previous prime is 30829193963. The next prime is 30829194031. The reversal of 30829194000 is 49192803.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 434213965 + ... + 434214035.

It is an arithmetic number, because the mean of its divisors is an integer number (103413024).

Almost surely, 2^30829194000 is an apocalyptic number.

30829194000 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 30829194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66184335360).

30829194000 is an abundant number, since it is smaller than the sum of its proper divisors (101539476720).

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

30829194000 is a wasteful number, since it uses less digits than its factorization.

30829194000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 30829194000 in words is "thirty billion, eight hundred twenty-nine million, one hundred ninety-four thousand".