31820664030 has 64 divisors (see below), whose sum is σ = 77663743488. Its totient is φ = 8341868160.

The previous prime is 31820664019. The next prime is 31820664101. The reversal of 31820664030 is 3046602813.

It is a junction number, because it is equal to n+sod(n) for n = 31820663982 and 31820664000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4577017 + ... + 4583963.

It is an arithmetic number, because the mean of its divisors is an integer number (1213495992).

Almost surely, 2^31820664030 is an apocalyptic number.

31820664030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31820664030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38831871744).

31820664030 is an abundant number, since it is smaller than the sum of its proper divisors (45843079458).

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

31820664030 is a wasteful number, since it uses less digits than its factorization.

31820664030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9521.

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 31820664030 in words is "thirty-one billion, eight hundred twenty million, six hundred sixty-four thousand, thirty".