32382723840 has 144 divisors (see below), whose sum is σ = 103582136448. Its totient is φ = 8622051328.

The previous prime is 32382723827. The next prime is 32382723847. The reversal of 32382723840 is 4832728323.

It is a junction number, because it is equal to n+sod(n) for n = 32382723792 and 32382723801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32382723847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2616547 + ... + 2628893.

It is an arithmetic number, because the mean of its divisors is an integer number (719320392).

Almost surely, 2^32382723840 is an apocalyptic number.

32382723840 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 32382723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51791068224).

32382723840 is an abundant number, since it is smaller than the sum of its proper divisors (71199412608).

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

32382723840 is a wasteful number, since it uses less digits than its factorization.

32382723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13054 (or 13040 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 32382723840 in words is "thirty-two billion, three hundred eighty-two million, seven hundred twenty-three thousand, eight hundred forty".