32771342340000 has 2880 divisors, whose sum is σ = 140634203149440. Its totient is φ = 7390310400000.

The previous prime is 32771342339959. The next prime is 32771342340073. The reversal of 32771342340000 is 4324317723.

32771342340000 is a `hidden beast` number, since 3 + 277 + 1 + 3 + 42 + 340 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 181057139910 + ... + 181057140090.

It is an arithmetic number, because the mean of its divisors is an integer number (48831320538).

Almost surely, 2^{32771342340000} is an apocalyptic number.

32771342340000 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 32771342340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70317101574720).

32771342340000 is an abundant number, since it is smaller than the sum of its proper divisors (107862860809440).

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

32771342340000 is a wasteful number, since it uses less digits than its factorization.

32771342340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

Adding to 32771342340000 its reverse (4324317723), we get a palindrome (32775666657723).

The spelling of 32771342340000 in words is "thirty-two trillion, seven hundred seventy-one billion, three hundred forty-two million, three hundred forty thousand".