31956002688 has 128 divisors (see below), whose sum is σ = 91218942720. Its totient is φ = 9875644416.

The previous prime is 31956002651. The next prime is 31956002699. The reversal of 31956002688 is 88620065913.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×31956002688² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400845 + ... + 473907.

It is an arithmetic number, because the mean of its divisors is an integer number (712647990).

Almost surely, 2^31956002688 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 31956002688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45609471360).

31956002688 is an abundant number, since it is smaller than the sum of its proper divisors (59262940032).

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

31956002688 is a wasteful number, since it uses less digits than its factorization.

31956002688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73164 (or 73152 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 31956002688 in words is "thirty-one billion, nine hundred fifty-six million, two thousand, six hundred eighty-eight".