32380730240 has 128 divisors (see below), whose sum is σ = 82468713600. Its totient is φ = 12122376192.

The previous prime is 32380730237. The next prime is 32380730273. The reversal of 32380730240 is 4203708323.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 32380730197 and 32380730206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 993239 + ... + 1025321.

It is an arithmetic number, because the mean of its divisors is an integer number (644286825).

Almost surely, 2^32380730240 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 32380730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41234356800).

32380730240 is an abundant number, since it is smaller than the sum of its proper divisors (50087983360).

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

32380730240 is a wasteful number, since it uses less digits than its factorization.

32380730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32204 (or 32192 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 32380730240 in words is "thirty-two billion, three hundred eighty million, seven hundred thirty thousand, two hundred forty".