31940350660350 has 288 divisors, whose sum is σ = 96207540609024. Its totient is φ = 7528892716800.

The previous prime is 31940350660331. The next prime is 31940350660357. The reversal of 31940350660350 is 5306605304913.

31940350660350 is a `hidden beast` number, since 3 + 1 + 9 + 4 + 0 + 35 + 0 + 6 + 603 + 5 + 0 = 666.

It is a super-2 number, since 2×31940350660350² (a number of 28 digits) contains 22 as substring.

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 a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31940350660296 and 31940350660305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31940350660357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 282543939 + ... + 282656961.

It is an arithmetic number, because the mean of its divisors is an integer number (334053960448).

Almost surely, 2^{31940350660350} is an apocalyptic number.

31940350660350 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 31940350660350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48103770304512).

31940350660350 is an abundant number, since it is smaller than the sum of its proper divisors (64267189948674).

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

31940350660350 is a wasteful number, since it uses less digits than its factorization.

31940350660350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114632 (or 114624 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

It can be divided in two parts, 319403 and 50660350, that added together give a triangular number (50979753 = T₁₀₀₉₇).

The spelling of 31940350660350 in words is "thirty-one trillion, nine hundred forty billion, three hundred fifty million, six hundred sixty thousand, three hundred fifty".