3273087700480 has 640 divisors, whose sum is σ = 9087618355200. Its totient is φ = 1121750482944.

The previous prime is 3273087700453. The next prime is 3273087700529. The reversal of 3273087700480 is 840077803723.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2676277149 + ... + 2676278371.

It is an arithmetic number, because the mean of its divisors is an integer number (14199403680).

Almost surely, 2^{3273087700480} 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 3273087700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543809177600).

3273087700480 is an abundant number, since it is smaller than the sum of its proper divisors (5814530654720).

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

3273087700480 is a wasteful number, since it uses less digits than its factorization.

3273087700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 49.

The spelling of 3273087700480 in words is "three trillion, two hundred seventy-three billion, eighty-seven million, seven hundred thousand, four hundred eighty".