3276240576000 has 640 divisors, whose sum is σ = 12481875394560. Its totient is φ = 746864640000.

The previous prime is 3276240575999. The next prime is 3276240576023. The reversal of 3276240576000 is 6750426723.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 538940961 + ... + 538947039.

It is an arithmetic number, because the mean of its divisors is an integer number (19502930304).

Almost surely, 2^{3276240576000} is an apocalyptic number.

3276240576000 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 3276240576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240937697280).

3276240576000 is an abundant number, since it is smaller than the sum of its proper divisors (9205634818560).

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

3276240576000 is an equidigital number, since it uses as much as digits as its factorization.

3276240576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6497 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 3276240576000 in words is "three trillion, two hundred seventy-six billion, two hundred forty million, five hundred seventy-six thousand".