31275000800 has 144 divisors (see below), whose sum is σ = 78294020112. Its totient is φ = 12192768000.

The previous prime is 31275000761. The next prime is 31275000811. The reversal of 31275000800 is 800057213.

It is a self number, because there is not a number n which added to its sum of digits gives 31275000800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26040200 + ... + 26041400.

It is an arithmetic number, because the mean of its divisors is an integer number (543708473).

Almost surely, 2^31275000800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31275000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39147010056).

31275000800 is an abundant number, since it is smaller than the sum of its proper divisors (47019019312).

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

31275000800 is a wasteful number, since it uses less digits than its factorization.

31275000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The spelling of 31275000800 in words is "thirty-one billion, two hundred seventy-five million, eight hundred", and thus it is an aban number.