31343161600 has 81 divisors (see below), whose sum is σ = 77614294303. Its totient is φ = 12531599360.

The previous prime is 31343161583. The next prime is 31343161601. The reversal of 31343161600 is 616134313.

The square root of 31343161600 is 177040.

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 8799940864 + 22543220736 = 93808^2 + 150144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31343161601) 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 8 ways as a sum of consecutive naturals, for example, 14162094 + ... + 14164306.

Almost surely, 2^31343161600 is an apocalyptic number.

31343161600 is the 177040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31343161600

31343161600 is an abundant number, since it is smaller than the sum of its proper divisors (46271132703).

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

31343161600 is an frugal number, since it uses more digits than its factorization.

31343161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 31343161600 its reverse (616134313), we get a palindrome (31959295913).

The spelling of 31343161600 in words is "thirty-one billion, three hundred forty-three million, one hundred sixty-one thousand, six hundred".