3232345440100 has 144 divisors (see below), whose sum is σ = 8088108327936. Its totient is φ = 1098335808000.

The previous prime is 3232345440091. The next prime is 3232345440209. The reversal of 3232345440100 is 10445432323.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37079565 + ... + 37166635.

It is an arithmetic number, because the mean of its divisors is an integer number (56167418944).

Almost surely, 2^{3232345440100} 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 3232345440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044054163968).

3232345440100 is an abundant number, since it is smaller than the sum of its proper divisors (4855762887836).

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

3232345440100 is a wasteful number, since it uses less digits than its factorization.

3232345440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87566 (or 87559 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The spelling of 3232345440100 in words is "three trillion, two hundred thirty-two billion, three hundred forty-five million, four hundred forty thousand, one hundred".