31876773986304 has 1125 divisors, whose sum is σ = 106850006340077. Its totient is φ = 9470023041024.

The previous prime is 31876773986177. The next prime is 31876773986353. The reversal of 31876773986304 is 40368937767813.

The square root of 31876773986304 is 5645952.

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

31876773986304 is a `hidden beast` number, since 3 + 187 + 67 + 7 + 3 + 9 + 86 + 304 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 31850762747904 + 26011238400 = 5643648^2 + 161280^2 .

It is a super-2 number, since 2×31876773986304² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1099199102962 + ... + 1099199102990.

Almost surely, 2^{31876773986304} is an apocalyptic number.

31876773986304 is the 5645952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31876773986304

31876773986304 is an abundant number, since it is smaller than the sum of its proper divisors (74973232353773).

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

31876773986304 is an frugal number, since it uses more digits than its factorization.

31876773986304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 31876773986304 in words is "thirty-one trillion, eight hundred seventy-six billion, seven hundred seventy-three million, nine hundred eighty-six thousand, three hundred four".