9938693952 has 224 divisors, whose sum is σ = 33750138240. Its totient is φ = 2834472960.

The previous prime is 9938693951. The next prime is 9938693953. The reversal of 9938693952 is 2593968399.

It is an interprime number because it is at equal distance from previous prime (9938693951) and next prime (9938693953).

It is a self number, because there is not a number n which added to its sum of digits gives 9938693952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9938693951) 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 31 ways as a sum of consecutive naturals, for example, 307758 + ... + 338514.

It is an arithmetic number, because the mean of its divisors is an integer number (150670260).

Almost surely, 2^9938693952 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 9938693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16875069120).

9938693952 is an abundant number, since it is smaller than the sum of its proper divisors (23811444288).

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

9938693952 is a wasteful number, since it uses less digits than its factorization.

9938693952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30806 (or 30790 counting only the distinct ones).

The product of its digits is 28343520, while the sum is 63.

The square root of 9938693952 is about 99692.9985104270. The cubic root of 9938693952 is about 2150.0229997179.

The spelling of 9938693952 in words is "nine billion, nine hundred thirty-eight million, six hundred ninety-three thousand, nine hundred fifty-two".