31782349440 has 384 divisors, whose sum is σ = 115482931200. Its totient is φ = 8038711296.

The previous prime is 31782349393. The next prime is 31782349441. The reversal of 31782349440 is 4494328713.

31782349440 is a `hidden beast` number, since 3 + 178 + 2 + 34 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (31782349441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16824016 + ... + 16825904.

It is an arithmetic number, because the mean of its divisors is an integer number (300736800).

Almost surely, 2^31782349440 is an apocalyptic number.

31782349440 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 31782349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57741465600).

31782349440 is an abundant number, since it is smaller than the sum of its proper divisors (83700581760).

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

31782349440 is a wasteful number, since it uses less digits than its factorization.

31782349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 31782349440 in words is "thirty-one billion, seven hundred eighty-two million, three hundred forty-nine thousand, four hundred forty".