32353152240 has 160 divisors (see below), whose sum is σ = 104028181056. Its totient is φ = 8310988800.

The previous prime is 32353152233. The next prime is 32353152241. The reversal of 32353152240 is 4225135323.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32353152198 and 32353152207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32353152241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 878844 + ... + 914916.

Almost surely, 2^32353152240 is an apocalyptic number.

32353152240 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 32353152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52014090528).

32353152240 is an abundant number, since it is smaller than the sum of its proper divisors (71675028816).

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

32353152240 is a wasteful number, since it uses less digits than its factorization.

32353152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36227 (or 36221 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 32353152240 its reverse (4225135323), we get a palindrome (36578287563).

The spelling of 32353152240 in words is "thirty-two billion, three hundred fifty-three million, one hundred fifty-two thousand, two hundred forty".