3275259781248 has 768 divisors, whose sum is σ = 12207564000000. Its totient is φ = 863751942144.

The previous prime is 3275259781243. The next prime is 3275259781271. The reversal of 3275259781248 is 8421879525723.

3275259781248 is a `hidden beast` number, since 3 + 2 + 7 + 525 + 9 + 7 + 81 + 24 + 8 = 666.

It is a super-3 number, since 3×3275259781248³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3275259781243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200325778 + ... + 200342126.

It is an arithmetic number, because the mean of its divisors is an integer number (15895265625).

Almost surely, 2^{3275259781248} 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 3275259781248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103782000000).

3275259781248 is an abundant number, since it is smaller than the sum of its proper divisors (8932304218752).

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

3275259781248 is a wasteful number, since it uses less digits than its factorization.

3275259781248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16419 (or 16374 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 3275259781248 in words is "three trillion, two hundred seventy-five billion, two hundred fifty-nine million, seven hundred eighty-one thousand, two hundred forty-eight".