30106944000 has 1280 divisors, whose sum is σ = 134819942400. Its totient is φ = 6469632000.

The previous prime is 30106943969. The next prime is 30106944001. The reversal of 30106944000 is 44960103.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30106944001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229823935 + ... + 229824065.

It is an arithmetic number, because the mean of its divisors is an integer number (105328080).

Almost surely, 2^30106944000 is an apocalyptic number.

30106944000 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 30106944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67409971200).

30106944000 is an abundant number, since it is smaller than the sum of its proper divisors (104712998400).

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

30106944000 is a wasteful number, since it uses less digits than its factorization.

30106944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 30106944000 in words is "thirty billion, one hundred six million, nine hundred forty-four thousand".