3645417352401 has 24 divisors (see below), whose sum is σ = 6046625276640. Its totient is φ = 2093062593600.

The previous prime is 3645417352373. The next prime is 3645417352417. The reversal of 3645417352401 is 1042537145463.

3645417352401 is a `hidden beast` number, since 3 + 6 + 4 + 54 + 1 + 73 + 524 + 0 + 1 = 666.

3645417352401 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 3645417352401 - 2¹⁴ = 3645417336017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3645417352441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 969008580 + ... + 969012341.

It is an arithmetic number, because the mean of its divisors is an integer number (251942719860).

Almost surely, 2^{3645417352401} is an apocalyptic number.

It is an amenable number.

3645417352401 is a deficient number, since it is larger than the sum of its proper divisors (2401207924239).

3645417352401 is a wasteful number, since it uses less digits than its factorization.

3645417352401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938020957 (or 1938020954 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3645417352401 in words is "three trillion, six hundred forty-five billion, four hundred seventeen million, three hundred fifty-two thousand, four hundred one".