3205215305440 has 96 divisors (see below), whose sum is σ = 7717912082496. Its totient is φ = 1257452851200.

The previous prime is 3205215305423. The next prime is 3205215305471. The reversal of 3205215305440 is 445035125023.

3205215305440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3205215305396 and 3205215305405.

It is a congruent number.

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, 24552340 + ... + 24682540.

It is an arithmetic number, because the mean of its divisors is an integer number (80394917526).

Almost surely, 2^{3205215305440} 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 3205215305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858956041248).

3205215305440 is an abundant number, since it is smaller than the sum of its proper divisors (4512696777056).

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

3205215305440 is a wasteful number, since it uses less digits than its factorization.

3205215305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133172 (or 133164 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 3205215305440 in words is "three trillion, two hundred five billion, two hundred fifteen million, three hundred five thousand, four hundred forty".