31749967872 has 728 divisors, whose sum is σ = 114595366400. Its totient is φ = 8778792960.

The previous prime is 31749967859. The next prime is 31749967889. The reversal of 31749967872 is 27876994713.

31749967872 is a `hidden beast` number, since 3 + 1 + 7 + 499 + 6 + 78 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1024192497 + ... + 1024192527.

Almost surely, 2^31749967872 is an apocalyptic number.

31749967872 is a gapful number since it is divisible by the number (32) 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 31749967872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57297683200).

31749967872 is an abundant number, since it is smaller than the sum of its proper divisors (82845398528).

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

31749967872 is an frugal number, since it uses more digits than its factorization.

31749967872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 43 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 31749967872 in words is "thirty-one billion, seven hundred forty-nine million, nine hundred sixty-seven thousand, eight hundred seventy-two".