3235288326144 has 224 divisors, whose sum is σ = 9872484923520. Its totient is φ = 923134328832.

The previous prime is 3235288326133. The next prime is 3235288326199. The reversal of 3235288326144 is 4416238825323.

It is a tau number, because it is divible by the number of its divisors (224).

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, 132968572 + ... + 132992900.

Almost surely, 2^{3235288326144} 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 3235288326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936242461760).

3235288326144 is an abundant number, since it is smaller than the sum of its proper divisors (6637196597376).

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

3235288326144 is an equidigital number, since it uses as much as digits as its factorization.

3235288326144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25138 (or 25114 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 51.

The spelling of 3235288326144 in words is "three trillion, two hundred thirty-five billion, two hundred eighty-eight million, three hundred twenty-six thousand, one hundred forty-four".