3235305040000 has 320 divisors, whose sum is σ = 8796214310400. Its totient is φ = 1175144960000.

The previous prime is 3235305039991. The next prime is 3235305040021. The reversal of 3235305040000 is 405035323.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1123758561 + ... + 1123761439.

It is an arithmetic number, because the mean of its divisors is an integer number (27488169720).

Almost surely, 2^{3235305040000} 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 3235305040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398107155200).

3235305040000 is an abundant number, since it is smaller than the sum of its proper divisors (5560909270400).

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

3235305040000 is a wasteful number, since it uses less digits than its factorization.

3235305040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

The spelling of 3235305040000 in words is "three trillion, two hundred thirty-five billion, three hundred five million, forty thousand".