31761440172 has 192 divisors, whose sum is σ = 103356288000. Its totient is φ = 8194037760.

The previous prime is 31761440171. The next prime is 31761440237. The reversal of 31761440172 is 27104416713.

31761440172 is a `hidden beast` number, since 3 + 176 + 14 + 401 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31761440171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1226268 + ... + 1251900.

It is an arithmetic number, because the mean of its divisors is an integer number (538314000).

Almost surely, 2^31761440172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31761440172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51678144000).

31761440172 is an abundant number, since it is smaller than the sum of its proper divisors (71594847828).

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

31761440172 is a wasteful number, since it uses less digits than its factorization.

31761440172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25813 (or 25805 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 31761440172 its reverse (27104416713), we get a palindrome (58865856885).

The spelling of 31761440172 in words is "thirty-one billion, seven hundred sixty-one million, four hundred forty thousand, one hundred seventy-two".