31283952000 has 768 divisors, whose sum is σ = 123640058880. Its totient is φ = 6973747200.

The previous prime is 31283951989. The next prime is 31283952001. The reversal of 31283952000 is 25938213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31283952001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110543859 + ... + 110544141.

It is an arithmetic number, because the mean of its divisors is an integer number (160989660).

Almost surely, 2^31283952000 is an apocalyptic number.

31283952000 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 31283952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61820029440).

31283952000 is an abundant number, since it is smaller than the sum of its proper divisors (92356106880).

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

31283952000 is a wasteful number, since it uses less digits than its factorization.

31283952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 31283952000 in words is "thirty-one billion, two hundred eighty-three million, nine hundred fifty-two thousand".