31272320352 has 768 divisors, whose sum is σ = 112661176320. Its totient is φ = 7363657728.

The previous prime is 31272320297. The next prime is 31272320353. The reversal of 31272320352 is 25302327213.

It is a super-2 number, since 2×31272320352² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31272320353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 376774903 + ... + 376774985.

It is an arithmetic number, because the mean of its divisors is an integer number (146694240).

Almost surely, 2^31272320352 is an apocalyptic number.

31272320352 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 31272320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56330588160).

31272320352 is an abundant number, since it is smaller than the sum of its proper divisors (81388855968).

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

31272320352 is a wasteful number, since it uses less digits than its factorization.

31272320352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

Adding to 31272320352 its reverse (25302327213), we get a palindrome (56574647565).

The spelling of 31272320352 in words is "thirty-one billion, two hundred seventy-two million, three hundred twenty thousand, three hundred fifty-two".