31033800640 has 224 divisors, whose sum is σ = 78640740864. Its totient is φ = 11641344000.

The previous prime is 31033800619. The next prime is 31033800643. The reversal of 31033800640 is 4600833013.

It is a junction number, because it is equal to n+sod(n) for n = 31033800599 and 31033800608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31033800643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123640515 + ... + 123640765.

It is an arithmetic number, because the mean of its divisors is an integer number (351074736).

Almost surely, 2^31033800640 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 31033800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39320370432).

31033800640 is an abundant number, since it is smaller than the sum of its proper divisors (47606940224).

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

31033800640 is a wasteful number, since it uses less digits than its factorization.

31033800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 31033800640 in words is "thirty-one billion, thirty-three million, eight hundred thousand, six hundred forty".