32842962432 has 480 divisors, whose sum is σ = 115083800832. Its totient is φ = 9155026944.

The previous prime is 32842962419. The next prime is 32842962437. The reversal of 32842962432 is 23426924823.

32842962432 is a `hidden beast` number, since 328 + 4 + 296 + 2 + 4 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32842962437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37448778 + ... + 37449654.

Almost surely, 2^32842962432 is an apocalyptic number.

32842962432 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 32842962432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57541900416).

32842962432 is an abundant number, since it is smaller than the sum of its proper divisors (82240838400).

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

32842962432 is an frugal number, since it uses more digits than its factorization.

32842962432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 932 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 32842962432 in words is "thirty-two billion, eight hundred forty-two million, nine hundred sixty-two thousand, four hundred thirty-two".