31868212320 has 960 divisors, whose sum is σ = 134359948800. Its totient is φ = 7108383744.

The previous prime is 31868212283. The next prime is 31868212333. The reversal of 31868212320 is 2321286813.

31868212320 is a `hidden beast` number, since 318 + 6 + 8 + 2 + 12 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 297833707 + ... + 297833813.

It is an arithmetic number, because the mean of its divisors is an integer number (139958280).

Almost surely, 2^31868212320 is an apocalyptic number.

31868212320 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 31868212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67179974400).

31868212320 is an abundant number, since it is smaller than the sum of its proper divisors (102491736480).

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

31868212320 is a wasteful number, since it uses less digits than its factorization.

31868212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 31868212320 in words is "thirty-one billion, eight hundred sixty-eight million, two hundred twelve thousand, three hundred twenty".