31887084096 has 672 divisors, whose sum is σ = 117667430400. Its totient is φ = 8047226880.

The previous prime is 31887084043. The next prime is 31887084101. The reversal of 31887084096 is 69048078813.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×31887084096³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68870361 + ... + 68870823.

Almost surely, 2^31887084096 is an apocalyptic number.

31887084096 is a gapful number since it is divisible by the number (36) 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 31887084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58833715200).

31887084096 is an abundant number, since it is smaller than the sum of its proper divisors (85780346304).

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

31887084096 is a wasteful number, since it uses less digits than its factorization.

31887084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 31887084096 in words is "thirty-one billion, eight hundred eighty-seven million, eighty-four thousand, ninety-six".