3276535512640 has 224 divisors, whose sum is σ = 8532321446880. Its totient is φ = 1191208550400.

The previous prime is 3276535512623. The next prime is 3276535512659. The reversal of 3276535512640 is 462155356723.

It is a happy number.

3276535512640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 2553450594304 + 723084918336 = 1597952^2 + 850344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89209480 + ... + 89246200.

It is an arithmetic number, because the mean of its divisors is an integer number (38090720745).

Almost surely, 2^{3276535512640} 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 3276535512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266160723440).

3276535512640 is an abundant number, since it is smaller than the sum of its proper divisors (5255785934240).

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

3276535512640 is a wasteful number, since it uses less digits than its factorization.

3276535512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37081 (or 37071 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 49.

The spelling of 3276535512640 in words is "three trillion, two hundred seventy-six billion, five hundred thirty-five million, five hundred twelve thousand, six hundred forty".