30234322984320 has 1792 divisors, whose sum is σ = 136108352016000. Its totient is φ = 6378670964736.

The previous prime is 30234322984309. The next prime is 30234322984339. The reversal of 30234322984320 is 2348922343203.

30234322984320 is a `hidden beast` number, since 3 + 0 + 2 + 3 + 4 + 32 + 298 + 4 + 320 = 666.

It is a super-2 number, since 2×30234322984320² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2080383774 + ... + 2080398306.

Almost surely, 2^{30234322984320} is an apocalyptic number.

30234322984320 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 30234322984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68054176008000).

30234322984320 is an abundant number, since it is smaller than the sum of its proper divisors (105874029031680).

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

30234322984320 is an equidigital number, since it uses as much as digits as its factorization.

30234322984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14604 (or 14563 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 30234322984320 in words is "thirty trillion, two hundred thirty-four billion, three hundred twenty-two million, nine hundred eighty-four thousand, three hundred twenty".