3275101132800 has 288 divisors, whose sum is σ = 12373745529600. Its totient is φ = 748594298880.

The previous prime is 3275101132757. The next prime is 3275101132811. The reversal of 3275101132800 is 82311015723.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 447820 + ... + 2598219.

It is an arithmetic number, because the mean of its divisors is an integer number (42964394200).

Almost surely, 2^{3275101132800} is an apocalyptic number.

3275101132800 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 3275101132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186872764800).

3275101132800 is an abundant number, since it is smaller than the sum of its proper divisors (9098644396800).

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

3275101132800 is a wasteful number, since it uses less digits than its factorization.

3275101132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046081 (or 3046056 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 3275101132800 in words is "three trillion, two hundred seventy-five billion, one hundred one million, one hundred thirty-two thousand, eight hundred".