3201334225440 has 384 divisors, whose sum is σ = 11242890408960. Its totient is φ = 760272027648.

The previous prime is 3201334225403. The next prime is 3201334225447. The reversal of 3201334225440 is 445224331023.

It is not an unprimeable number, because it can be changed into a prime (3201334225447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269081572 + ... + 269093468.

It is an arithmetic number, because the mean of its divisors is an integer number (29278360440).

Almost surely, 2^{3201334225440} is an apocalyptic number.

3201334225440 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 3201334225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621445204480).

3201334225440 is an abundant number, since it is smaller than the sum of its proper divisors (8041556183520).

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

3201334225440 is a wasteful number, since it uses less digits than its factorization.

3201334225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13444 (or 13436 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 3201334225440 its reverse (445224331023), we get a palindrome (3646558556463).

The spelling of 3201334225440 in words is "three trillion, two hundred one billion, three hundred thirty-four million, two hundred twenty-five thousand, four hundred forty".