3852627401657 has 8 divisors (see below), whose sum is σ = 3857513580480. Its totient is φ = 3847741722000.

The previous prime is 3852627401561. The next prime is 3852627401681. The reversal of 3852627401657 is 7561047262583.

3852627401657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3852627401657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3852627901657) 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, 16764782 + ... + 16993032.

It is an arithmetic number, because the mean of its divisors is an integer number (482189197560).

Almost surely, 2^{3852627401657} is an apocalyptic number.

It is an amenable number.

3852627401657 is a deficient number, since it is larger than the sum of its proper divisors (4886178823).

3852627401657 is a wasteful number, since it uses less digits than its factorization.

3852627401657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249583.

The product of its (nonzero) digits is 16934400, while the sum is 56.

The spelling of 3852627401657 in words is "three trillion, eight hundred fifty-two billion, six hundred twenty-seven million, four hundred one thousand, six hundred fifty-seven".