31879303422976 has 297 divisors, whose sum is σ = 69047001831171. Its totient is φ = 14708604665856.

The previous prime is 31879303422931. The next prime is 31879303422977. The reversal of 31879303422976 is 67922430397813.

The square root of 31879303422976 is 5646176.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1866436862976 + 30012866560000 = 1366176^2 + 5478400^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31879303422977) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 297937415115 + ... + 297937415221.

Almost surely, 2^{31879303422976} is an apocalyptic number.

31879303422976 is the 5646176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31879303422976

31879303422976 is an abundant number, since it is smaller than the sum of its proper divisors (37167698408195).

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

31879303422976 is an frugal number, since it uses more digits than its factorization.

31879303422976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 64.

31879303422976 divided by its sum of digits (64) gives a square (498114115984 = 705772²).

The spelling of 31879303422976 in words is "thirty-one trillion, eight hundred seventy-nine billion, three hundred three million, four hundred twenty-two thousand, nine hundred seventy-six".