31242682368 has 320 divisors, whose sum is σ = 95156820000. Its totient is φ = 10213392384.

The previous prime is 31242682349. The next prime is 31242682391. The reversal of 31242682368 is 86328624213.

31242682368 is a `hidden beast` number, since 3 + 1 + 24 + 268 + 2 + 368 = 666.

It is a super-2 number, since 2×31242682368² (a number of 22 digits) contains 22 as substring.

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 a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 209682358 + ... + 209682506.

Almost surely, 2^31242682368 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 31242682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47578410000).

31242682368 is an abundant number, since it is smaller than the sum of its proper divisors (63914137632).

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

31242682368 is an frugal number, since it uses more digits than its factorization.

31242682368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 233 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 31242682368 in words is "thirty-one billion, two hundred forty-two million, six hundred eighty-two thousand, three hundred sixty-eight".