31670263872 has 336 divisors, whose sum is σ = 101893908480. Its totient is φ = 9695490048.

The previous prime is 31670263853. The next prime is 31670263873. The reversal of 31670263872 is 27836207613.

31670263872 is a `hidden beast` number, since 3 + 1 + 6 + 7 + 0 + 2 + 638 + 7 + 2 = 666.

It is a super-2 number, since 2×31670263872² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31670263873) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 77433204 + ... + 77433612.

It is an arithmetic number, because the mean of its divisors is an integer number (303255680).

Almost surely, 2^31670263872 is an apocalyptic number.

31670263872 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 31670263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50946954240).

31670263872 is an abundant number, since it is smaller than the sum of its proper divisors (70223644608).

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

31670263872 is a wasteful number, since it uses less digits than its factorization.

31670263872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 31670263872 in words is "thirty-one billion, six hundred seventy million, two hundred sixty-three thousand, eight hundred seventy-two".