32348071879680 has 352 divisors, whose sum is σ = 103819482673920. Its totient is φ = 8596496711680.

The previous prime is 32348071879661. The next prime is 32348071879691. The reversal of 32348071879680 is 8697817084323.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11932153525 + ... + 11932156235.

Almost surely, 2^{32348071879680} is an apocalyptic number.

32348071879680 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 32348071879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51909741336960).

32348071879680 is an abundant number, since it is smaller than the sum of its proper divisors (71471410794240).

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

32348071879680 is a wasteful number, since it uses less digits than its factorization.

32348071879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5125 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 32348071879680 in words is "thirty-two trillion, three hundred forty-eight billion, seventy-one million, eight hundred seventy-nine thousand, six hundred eighty".