9738005004 has 360 divisors, whose sum is σ = 33011249040. Its totient is φ = 2478180096.

The previous prime is 9738005003. The next prime is 9738005009. The reversal of 9738005004 is 4005008379.

9738005004 is a `hidden beast` number, since 9 + 73 + 80 + 0 + 500 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9738005004.

It is not an unprimeable number, because it can be changed into a prime (9738005003) 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 119 ways as a sum of consecutive naturals, for example, 5984439 + ... + 5986065.

It is an arithmetic number, because the mean of its divisors is an integer number (91697914).

Almost surely, 2^9738005004 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 9738005004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16505624520).

9738005004 is an abundant number, since it is smaller than the sum of its proper divisors (23273244036).

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

9738005004 is a wasteful number, since it uses less digits than its factorization.

9738005004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9738005004 is about 98681.3305747343. The cubic root of 9738005004 is about 2135.4529040069.

The spelling of 9738005004 in words is "nine billion, seven hundred thirty-eight million, five thousand, four".