31430260368 has 180 divisors, whose sum is σ = 97277880960. Its totient is φ = 9464742144.

The previous prime is 31430260339. The next prime is 31430260373. The reversal of 31430260368 is 86306203413.

31430260368 is a `hidden beast` number, since 3 + 1 + 4 + 30 + 260 + 368 = 666.

It is a super-2 number, since 2×31430260368² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1130053 + ... + 1157531.

It is an arithmetic number, because the mean of its divisors is an integer number (540432672).

Almost surely, 2^31430260368 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 31430260368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48638940480).

31430260368 is an abundant number, since it is smaller than the sum of its proper divisors (65847620592).

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

31430260368 is a wasteful number, since it uses less digits than its factorization.

31430260368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27566 (or 27544 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 31430260368 in words is "thirty-one billion, four hundred thirty million, two hundred sixty thousand, three hundred sixty-eight".