3267228384001 has 8 divisors (see below), whose sum is σ = 3268263577320. Its totient is φ = 3266193366912.

The previous prime is 3267228383999. The next prime is 3267228384037. The reversal of 3267228384001 is 1004838227623.

3267228384001 is digitally balanced in base 3, 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 4 ways, for example, as 329171850225 + 2938056533776 = 573735^2 + 1714076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3267228384001 - 2¹ = 3267228383999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3267228384071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43599501 + ... + 43674373.

It is an arithmetic number, because the mean of its divisors is an integer number (408532947165).

Almost surely, 2^{3267228384001} is an apocalyptic number.

It is an amenable number.

3267228384001 is a deficient number, since it is larger than the sum of its proper divisors (1035193319).

3267228384001 is an equidigital number, since it uses as much as digits as its factorization.

3267228384001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88115.

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 3267228384001 in words is "three trillion, two hundred sixty-seven billion, two hundred twenty-eight million, three hundred eighty-four thousand, one".