31041084672 has 432 divisors, whose sum is σ = 100781431296. Its totient is φ = 9123840000.

The previous prime is 31041084667. The next prime is 31041084677. The reversal of 31041084672 is 27648014013.

It is an interprime number because it is at equal distance from previous prime (31041084667) and next prime (31041084677).

It is a super-2 number, since 2×31041084672² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31041084677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93779547 + ... + 93779877.

Almost surely, 2^31041084672 is an apocalyptic number.

31041084672 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 31041084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50390715648).

31041084672 is an abundant number, since it is smaller than the sum of its proper divisors (69740346624).

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

31041084672 is a wasteful number, since it uses less digits than its factorization.

31041084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 31041084672 its reverse (27648014013), we get a palindrome (58689098685).

The spelling of 31041084672 in words is "thirty-one billion, forty-one million, eighty-four thousand, six hundred seventy-two".