31782072084 has 144 divisors (see below), whose sum is σ = 96148019520. Its totient is φ = 8096578560.

The previous prime is 31782072043. The next prime is 31782072097. The reversal of 31782072084 is 48027028713.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106254 + ... + 273594.

It is an arithmetic number, because the mean of its divisors is an integer number (667694580).

Almost surely, 2^31782072084 is an apocalyptic number.

31782072084 is a gapful number since it is divisible by the number (34) 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 31782072084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48074009760).

31782072084 is an abundant number, since it is smaller than the sum of its proper divisors (64365947436).

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

31782072084 is a wasteful number, since it uses less digits than its factorization.

31782072084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167398 (or 167389 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 31782072084 in words is "thirty-one billion, seven hundred eighty-two million, seventy-two thousand, eighty-four".