31641603840 has 432 divisors, whose sum is σ = 136494199296. Its totient is φ = 6574694400.

The previous prime is 31641603757. The next prime is 31641603857. The reversal of 31641603840 is 4830614613.

It is a happy number.

31641603840 is a `hidden beast` number, since 3 + 1 + 6 + 4 + 1 + 603 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31641603795 and 31641603804.

It is a congruent number.

It is an unprimeable number.

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, 869205 + ... + 904875.

Almost surely, 2^31641603840 is an apocalyptic number.

31641603840 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 31641603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68247099648).

31641603840 is an abundant number, since it is smaller than the sum of its proper divisors (104852595456).

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

31641603840 is a wasteful number, since it uses less digits than its factorization.

31641603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35716 (or 35699 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 31641603840 in words is "thirty-one billion, six hundred forty-one million, six hundred three thousand, eight hundred forty".