31671601920 has 432 divisors, whose sum is σ = 126557121600. Its totient is φ = 7162822656.

The previous prime is 31671601909. The next prime is 31671601921. The reversal of 31671601920 is 2910617613.

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 (31671601921) 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 47 ways as a sum of consecutive naturals, for example, 7820056 + ... + 7824104.

It is an arithmetic number, because the mean of its divisors is an integer number (292956300).

Almost surely, 2^31671601920 is an apocalyptic number.

31671601920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31671601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63278560800).

31671601920 is an abundant number, since it is smaller than the sum of its proper divisors (94885519680).

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

31671601920 is a wasteful number, since it uses less digits than its factorization.

31671601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 31671601920 in words is "thirty-one billion, six hundred seventy-one million, six hundred one thousand, nine hundred twenty".