31884817104 has 160 divisors (see below), whose sum is σ = 105420554240. Its totient is φ = 9038107008.

The previous prime is 31884817049. The next prime is 31884817127. The reversal of 31884817104 is 40171848813.

It is a super-3 number, since 3×31884817104³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31884817104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342537 + ... + 425559.

It is an arithmetic number, because the mean of its divisors is an integer number (658878464).

Almost surely, 2^31884817104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31884817104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52710277120).

31884817104 is an abundant number, since it is smaller than the sum of its proper divisors (73535737136).

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

31884817104 is a wasteful number, since it uses less digits than its factorization.

31884817104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83174 (or 83162 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 31884817104 in words is "thirty-one billion, eight hundred eighty-four million, eight hundred seventeen thousand, one hundred four".