31844940960 has 384 divisors, whose sum is σ = 121552994304. Its totient is φ = 6852833280.

The previous prime is 31844940949. The next prime is 31844941027. The reversal of 31844940960 is 6904944813.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 3849789 + ... + 3858051.

It is an arithmetic number, because the mean of its divisors is an integer number (316544256).

Almost surely, 2^31844940960 is an apocalyptic number.

31844940960 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 31844940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60776497152).

31844940960 is an abundant number, since it is smaller than the sum of its proper divisors (89708053344).

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

31844940960 is a wasteful number, since it uses less digits than its factorization.

31844940960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356 (or 8348 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 31844940960 in words is "thirty-one billion, eight hundred forty-four million, nine hundred forty thousand, nine hundred sixty".