19734382304 has 288 divisors, whose sum is σ = 50495205600. Its totient is φ = 7520808960.

The previous prime is 19734382303. The next prime is 19734382309. The reversal of 19734382304 is 40328343791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19734382303) by changing a digit.

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, 73361882 + ... + 73362150.

It is an arithmetic number, because the mean of its divisors is an integer number (175330575).

Almost surely, 2^19734382304 is an apocalyptic number.

19734382304 is a gapful number since it is divisible by the number (14) 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 19734382304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25247602800).

19734382304 is an abundant number, since it is smaller than the sum of its proper divisors (30760823296).

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

19734382304 is a wasteful number, since it uses less digits than its factorization.

19734382304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 19734382304 in words is "nineteen billion, seven hundred thirty-four million, three hundred eighty-two thousand, three hundred four".