9736771344400 has 45 divisors (see below), whose sum is σ = 23392743090141. Its totient is φ = 3894683574720.

The previous prime is 9736771344371. The next prime is 9736771344403. The reversal of 9736771344400 is 44431776379.

It is a happy number.

The square root of 9736771344400 is 3120380.

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

It can be written as a sum of positive squares in only one way, i.e., 3505237683984 + 6231533660416 = 1872228^2 + 2496304^2 .

It is a super-2 number, since 2×9736771344400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9736771344403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62329591 + ... + 62485609.

Almost surely, 2^{9736771344400} is an apocalyptic number.

9736771344400 is the 3120380-th square number.

It is an amenable number.

9736771344400 is an abundant number, since it is smaller than the sum of its proper divisors (13655971745741).

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

9736771344400 is an frugal number, since it uses more digits than its factorization.

9736771344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312056 (or 156026 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 55.

The spelling of 9736771344400 in words is "nine trillion, seven hundred thirty-six billion, seven hundred seventy-one million, three hundred forty-four thousand, four hundred".