32861729472 has 224 divisors, whose sum is σ = 102420993024. Its totient is φ = 9167462400.

The previous prime is 32861729423. The next prime is 32861729473. The reversal of 32861729472 is 27492716823.

It is not an unprimeable number, because it can be changed into a prime (32861729473) 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 31 ways as a sum of consecutive naturals, for example, 11832148 + ... + 11834924.

It is an arithmetic number, because the mean of its divisors is an integer number (457236576).

Almost surely, 2^32861729472 is an apocalyptic number.

32861729472 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 32861729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51210496512).

32861729472 is an abundant number, since it is smaller than the sum of its proper divisors (69559263552).

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

32861729472 is a wasteful number, since it uses less digits than its factorization.

32861729472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3237 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The spelling of 32861729472 in words is "thirty-two billion, eight hundred sixty-one million, seven hundred twenty-nine thousand, four hundred seventy-two".