32380846160 has 120 divisors (see below), whose sum is σ = 81753421464. Its totient is φ = 11922094080.

The previous prime is 32380846153. The next prime is 32380846177. The reversal of 32380846160 is 6164808323.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 21365084224 + 11015761936 = 146168^2 + 104956^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5039750 + ... + 5046170.

Almost surely, 2^32380846160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32380846160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40876710732).

32380846160 is an abundant number, since it is smaller than the sum of its proper divisors (49372575304).

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

32380846160 is a wasteful number, since it uses less digits than its factorization.

32380846160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 32380846160 in words is "thirty-two billion, three hundred eighty million, eight hundred forty-six thousand, one hundred sixty".