31875000000 has 308 divisors, whose sum is σ = 111621091464. Its totient is φ = 8000000000.

The previous prime is 31874999977. The next prime is 31875000011. The reversal of 31875000000 is 57813.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4250 × 3750 × 2000.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 1874999992 + ... + 1875000008.

Almost surely, 2^31875000000 is an apocalyptic number.

31875000000 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 31875000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55810545732).

31875000000 is an abundant number, since it is smaller than the sum of its proper divisors (79746091464).

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

31875000000 is an frugal number, since it uses more digits than its factorization.

31875000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 31875000000 its reverse (57813), we get a palindrome (31875057813).

It can be divided in two parts, 3 and 1875000000, that multiplied together give a square (5625000000 = 75000²).

The spelling of 31875000000 in words is "thirty-one billion, eight hundred seventy-five million", and thus it is an aban number.