9738973952 has 72 divisors (see below), whose sum is σ = 20215364400. Its totient is φ = 4677005312.

The previous prime is 9738973913. The next prime is 9738973997. The reversal of 9738973952 is 2593798379.

It is a super-3 number, since 3×9738973952³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1459199 + ... + 1465857.

It is an arithmetic number, because the mean of its divisors is an integer number (280768950).

Almost surely, 2^9738973952 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 9738973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10107682200).

9738973952 is an abundant number, since it is smaller than the sum of its proper divisors (10476390448).

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

9738973952 is a wasteful number, since it uses less digits than its factorization.

9738973952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6901 (or 6887 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 62.

The square root of 9738973952 is about 98686.2399324242. The cubic root of 9738973952 is about 2135.5237287188.

The spelling of 9738973952 in words is "nine billion, seven hundred thirty-eight million, nine hundred seventy-three thousand, nine hundred fifty-two".