31730385960 has 768 divisors, whose sum is σ = 136271116800. Its totient is φ = 6458683392.

The previous prime is 31730385959. The next prime is 31730385961. The reversal of 31730385960 is 6958303713.

It is an interprime number because it is at equal distance from previous prime (31730385959) and next prime (31730385961).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (31730385961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25650462 + ... + 25651698.

It is an arithmetic number, because the mean of its divisors is an integer number (177436350).

Almost surely, 2^31730385960 is an apocalyptic number.

31730385960 is a gapful number since it is divisible by the number (30) 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 31730385960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68135558400).

31730385960 is an abundant number, since it is smaller than the sum of its proper divisors (104540730840).

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

31730385960 is a wasteful number, since it uses less digits than its factorization.

31730385960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 31730385960 in words is "thirty-one billion, seven hundred thirty million, three hundred eighty-five thousand, nine hundred sixty".