32961841920 has 432 divisors, whose sum is σ = 135172826880. Its totient is φ = 7533637632.

The previous prime is 32961841897. The next prime is 32961841921. The reversal of 32961841920 is 2914816923.

32961841920 is a `hidden beast` number, since 3 + 2 + 9 + 618 + 4 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (32961841921) 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, 2169711 + ... + 2184849.

Almost surely, 2^32961841920 is an apocalyptic number.

32961841920 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 32961841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67586413440).

32961841920 is an abundant number, since it is smaller than the sum of its proper divisors (102210984960).

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

32961841920 is an equidigital number, since it uses as much as digits as its factorization.

32961841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15182 (or 15156 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 32961841920 in words is "thirty-two billion, nine hundred sixty-one million, eight hundred forty-one thousand, nine hundred twenty".