31305949038 has 288 divisors, whose sum is σ = 92199534336. Its totient is φ = 7768410624.

The previous prime is 31305949009. The next prime is 31305949063. The reversal of 31305949038 is 83094950313.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31305948984 and 31305949002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9772345 + ... + 9775547.

It is an arithmetic number, because the mean of its divisors is an integer number (320137272).

Almost surely, 2^31305949038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31305949038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46099767168).

31305949038 is an abundant number, since it is smaller than the sum of its proper divisors (60893585298).

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

31305949038 is a wasteful number, since it uses less digits than its factorization.

31305949038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 31305949038 in words is "thirty-one billion, three hundred five million, nine hundred forty-nine thousand, thirty-eight".