9738706076100 has 729 divisors, whose sum is σ = 33743306872821. Its totient is φ = 2348756121600.

The previous prime is 9738706076087. The next prime is 9738706076123. The reversal of 9738706076100 is 16706078379.

The square root of 9738706076100 is 3120690.

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

9738706076100 is a `hidden beast` number, since 97 + 387 + 0 + 6 + 0 + 76 + 100 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3172894312644 + 6565811763456 = 1781262^2 + 2562384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 46155004995 + ... + 46155005205.

Almost surely, 2^{9738706076100} is an apocalyptic number.

9738706076100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9738706076100 is the 3120690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9738706076100

9738706076100 is an abundant number, since it is smaller than the sum of its proper divisors (24004600796721).

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

9738706076100 is a wasteful number, since it uses less digits than its factorization.

9738706076100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 9738706076100 in words is "nine trillion, seven hundred thirty-eight billion, seven hundred six million, seventy-six thousand, one hundred".