30670331328 has 336 divisors, whose sum is σ = 111934630080. Its totient is φ = 7809564672.

The previous prime is 30670331269. The next prime is 30670331359. The reversal of 30670331328 is 82313307603.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 30670331292 and 30670331301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1509976 + ... + 1530152.

It is an arithmetic number, because the mean of its divisors is an integer number (333138780).

Almost surely, 2^30670331328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30670331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55967315040).

30670331328 is an abundant number, since it is smaller than the sum of its proper divisors (81264298752).

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

30670331328 is a wasteful number, since it uses less digits than its factorization.

30670331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20244 (or 20231 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 30670331328 in words is "thirty billion, six hundred seventy million, three hundred thirty-one thousand, three hundred twenty-eight".