31890385800 has 1152 divisors, whose sum is σ = 140591001600. Its totient is φ = 6584094720.

The previous prime is 31890385781. The next prime is 31890385811. The reversal of 31890385800 is 858309813.

31890385800 is a `hidden beast` number, since 31 + 8 + 9 + 0 + 38 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 251105337 + ... + 251105463.

It is an arithmetic number, because the mean of its divisors is an integer number (122040800).

Almost surely, 2^31890385800 is an apocalyptic number.

31890385800 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 31890385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70295500800).

31890385800 is an abundant number, since it is smaller than the sum of its proper divisors (108700615800).

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

31890385800 is a wasteful number, since it uses less digits than its factorization.

31890385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 31890385800 in words is "thirty-one billion, eight hundred ninety million, three hundred eighty-five thousand, eight hundred".