32820874240 has 352 divisors, whose sum is σ = 100221120000. Its totient is φ = 10223861760.

The previous prime is 32820874157. The next prime is 32820874243. The reversal of 32820874240 is 4247802823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 32820874193 and 32820874202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32820874243) 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 31 ways as a sum of consecutive naturals, for example, 19316911 + ... + 19318609.

Almost surely, 2^32820874240 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 32820874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50110560000).

32820874240 is an abundant number, since it is smaller than the sum of its proper divisors (67400245760).

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

32820874240 is a wasteful number, since it uses less digits than its factorization.

32820874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 32820874240 in words is "thirty-two billion, eight hundred twenty million, eight hundred seventy-four thousand, two hundred forty".