32434123087872 has 1008 divisors, whose sum is σ = 109112549364000. Its totient is φ = 9250551889920.

The previous prime is 32434123087871. The next prime is 32434123087889. The reversal of 32434123087872 is 27878032143423.

32434123087872 is a `hidden beast` number, since 3 + 2 + 43 + 412 + 30 + 87 + 87 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (32434123087871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30340619754 + ... + 30340620822.

It is an arithmetic number, because the mean of its divisors is an integer number (108246576750).

Almost surely, 2^{32434123087872} is an apocalyptic number.

32434123087872 is a gapful number since it is divisible by the number (32) 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 32434123087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54556274682000).

32434123087872 is an abundant number, since it is smaller than the sum of its proper divisors (76678426276128).

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

32434123087872 is a wasteful number, since it uses less digits than its factorization.

32434123087872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 32434123087872 in words is "thirty-two trillion, four hundred thirty-four billion, one hundred twenty-three million, eighty-seven thousand, eight hundred seventy-two".