31341634560 has 440 divisors, whose sum is σ = 113135495616. Its totient is φ = 8330895360.

The previous prime is 31341634553. The next prime is 31341634573. The reversal of 31341634560 is 6543614313.

31341634560 is a `hidden beast` number, since 3 + 1 + 34 + 1 + 63 + 4 + 560 = 666.

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100776805 + ... + 100777115.

Almost surely, 2^31341634560 is an apocalyptic number.

31341634560 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 31341634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56567747808).

31341634560 is an abundant number, since it is smaller than the sum of its proper divisors (81793861056).

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

31341634560 is an frugal number, since it uses more digits than its factorization.

31341634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 31341634560 in words is "thirty-one billion, three hundred forty-one million, six hundred thirty-four thousand, five hundred sixty".