3428001561601 has 16 divisors (see below), whose sum is σ = 3465476784000. Its totient is φ = 3390753477888.

The previous prime is 3428001561587. The next prime is 3428001561617. The reversal of 3428001561601 is 1061651008243.

It is a happy number.

It is not a de Polignac number, because 3428001561601 - 2¹¹ = 3428001559553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3428001561701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42359625 + ... + 42440473.

It is an arithmetic number, because the mean of its divisors is an integer number (216592299000).

Almost surely, 2^{3428001561601} is an apocalyptic number.

It is an amenable number.

3428001561601 is a deficient number, since it is larger than the sum of its proper divisors (37475222399).

3428001561601 is a wasteful number, since it uses less digits than its factorization.

3428001561601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82248.

The product of its (nonzero) digits is 34560, while the sum is 37.

Adding to 3428001561601 its reverse (1061651008243), we get a palindrome (4489652569844).

The spelling of 3428001561601 in words is "three trillion, four hundred twenty-eight billion, one million, five hundred sixty-one thousand, six hundred one".