38295917201 has 8 divisors (see below), whose sum is σ = 40582722600. Its totient is φ = 36073528960.

The previous prime is 38295917147. The next prime is 38295917213. The reversal of 38295917201 is 10271959283.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1709409025 + 36586508176 = 41345^2 + 191276^2 .

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 38295917201 - 2⁶ = 38295917137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38295917251) 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 7 ways as a sum of consecutive naturals, for example, 16103066 + ... + 16105443.

It is an arithmetic number, because the mean of its divisors is an integer number (5072840325).

Almost surely, 2^38295917201 is an apocalyptic number.

It is an amenable number.

38295917201 is a deficient number, since it is larger than the sum of its proper divisors (2286805399).

38295917201 is a wasteful number, since it uses less digits than its factorization.

38295917201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32208579.

The product of its (nonzero) digits is 272160, while the sum is 47.

The spelling of 38295917201 in words is "thirty-eight billion, two hundred ninety-five million, nine hundred seventeen thousand, two hundred one".