38287630664001 has 56 divisors (see below), whose sum is σ = 59938520057856. Its totient is φ = 24400033574400.

The previous prime is 38287630663957. The next prime is 38287630664053. The reversal of 38287630664001 is 10046603678283.

38287630664001 is a `hidden beast` number, since 3 + 82 + 8 + 76 + 30 + 66 + 400 + 1 = 666.

It is not a de Polignac number, because 38287630664001 - 2¹⁰ = 38287630662977 is a prime.

It is a super-3 number, since 3×38287630664001³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (38287630664081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26130816 + ... + 27557118.

Almost surely, 2^{38287630664001} is an apocalyptic number.

It is an amenable number.

38287630664001 is a deficient number, since it is larger than the sum of its proper divisors (21650889393855).

38287630664001 is a wasteful number, since it uses less digits than its factorization.

38287630664001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427945 (or 1427930 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 38287630664001 in words is "thirty-eight trillion, two hundred eighty-seven billion, six hundred thirty million, six hundred sixty-four thousand, one".