31934868480 has 528 divisors, whose sum is σ = 115327390464. Its totient is φ = 8164638720.

The previous prime is 31934868451. The next prime is 31934868487. The reversal of 31934868480 is 8486843913.

31934868480 is a `hidden beast` number, since 3 + 1 + 9 + 3 + 486 + 84 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (31934868487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140682127 + ... + 140682353.

It is an arithmetic number, because the mean of its divisors is an integer number (218423088).

Almost surely, 2^31934868480 is an apocalyptic number.

31934868480 is a gapful number since it is divisible by the number (30) 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 31934868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57663695232).

31934868480 is an abundant number, since it is smaller than the sum of its proper divisors (83392521984).

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

31934868480 is a wasteful number, since it uses less digits than its factorization.

31934868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 31934868480 in words is "thirty-one billion, nine hundred thirty-four million, eight hundred sixty-eight thousand, four hundred eighty".