31106370672 has 180 divisors, whose sum is σ = 96878533752. Its totient is φ = 9261907200.

The previous prime is 31106370671. The next prime is 31106370679. The reversal of 31106370672 is 27607360113.

31106370672 is a `hidden beast` number, since 3 + 1 + 10 + 637 + 0 + 6 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31106370671) 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 35 ways as a sum of consecutive naturals, for example, 1790347 + ... + 1807637.

Almost surely, 2^31106370672 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 31106370672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48439266876).

31106370672 is an abundant number, since it is smaller than the sum of its proper divisors (65772163080).

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

31106370672 is a wasteful number, since it uses less digits than its factorization.

31106370672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17380 (or 17340 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 31106370672 in words is "thirty-one billion, one hundred six million, three hundred seventy thousand, six hundred seventy-two".