3400334331201 has 8 divisors (see below), whose sum is σ = 5037532342560. Its totient is φ = 2266889554116.

The previous prime is 3400334331187. The next prime is 3400334331283. The reversal of 3400334331201 is 1021334330043.

3400334331201 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 3 + 343 + 312 + 0 + 1 = 666.

3400334331201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3400334331201 - 2¹¹ = 3400334329153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 125938308563 = 3400334331201 / (3 + 4 + 0 + 0 + 3 + 3 + 4 + 3 + 3 + 1 + 2 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (3400334331601) 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, 62969154255 + ... + 62969154308.

It is an arithmetic number, because the mean of its divisors is an integer number (629691542820).

Almost surely, 2^{3400334331201} is an apocalyptic number.

It is an amenable number.

3400334331201 is a deficient number, since it is larger than the sum of its proper divisors (1637198011359).

3400334331201 is a wasteful number, since it uses less digits than its factorization.

3400334331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125938308572 (or 125938308566 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 3400334331201 its reverse (1021334330043), we get a palindrome (4421668661244).

The spelling of 3400334331201 in words is "three trillion, four hundred billion, three hundred thirty-four million, three hundred thirty-one thousand, two hundred one".