30834910890 has 192 divisors, whose sum is σ = 94317799680. Its totient is φ = 6841635840.

The previous prime is 30834910829. The next prime is 30834910921. The reversal of 30834910890 is 9801943803.

30834910890 is a `hidden beast` number, since 3 + 0 + 83 + 491 + 0 + 89 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12143241 + ... + 12145779.

It is an arithmetic number, because the mean of its divisors is an integer number (491238540).

Almost surely, 2^30834910890 is an apocalyptic number.

30834910890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30834910890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47158899840).

30834910890 is an abundant number, since it is smaller than the sum of its proper divisors (63482888790).

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

30834910890 is a wasteful number, since it uses less digits than its factorization.

30834910890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 30834910890 in words is "thirty billion, eight hundred thirty-four million, nine hundred ten thousand, eight hundred ninety".