30384673344 has 189 divisors, whose sum is σ = 90774732217. Its totient is φ = 10090573056.

The previous prime is 30384673321. The next prime is 30384673349. The reversal of 30384673344 is 44337648303.

The square root of 30384673344 is 174312.

It is a perfect power (a square), and thus also a powerful number.

30384673344 is a `hidden beast` number, since 303 + 8 + 4 + 6 + 7 + 334 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1999162944 + 28385510400 = 44712^2 + 168480^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30384673344.

It is not an unprimeable number, because it can be changed into a prime (30384673349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112954042 + ... + 112954310.

Almost surely, 2^30384673344 is an apocalyptic number.

30384673344 is the 174312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30384673344

30384673344 is an abundant number, since it is smaller than the sum of its proper divisors (60390058873).

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

30384673344 is an frugal number, since it uses more digits than its factorization.

30384673344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

It can be divided in two parts, 3038467 and 3344, that added together give a triangular number (3041811 = T₂₄₆₆).

The spelling of 30384673344 in words is "thirty billion, three hundred eighty-four million, six hundred seventy-three thousand, three hundred forty-four".