38035721424001 has 16 divisors (see below), whose sum is σ = 43569494774784. Its totient is φ = 32526979462224.

The previous prime is 38035721423939. The next prime is 38035721424049. The reversal of 38035721424001 is 10042412753083.

It is a cyclic number.

It is not a de Polignac number, because 38035721424001 - 2²⁹ = 38035184553089 is a prime.

It is a super-2 number, since 2×38035721424001² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38035721424061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71140396 + ... + 71673058.

It is an arithmetic number, because the mean of its divisors is an integer number (2723093423424).

Almost surely, 2^{38035721424001} is an apocalyptic number.

It is an amenable number.

38035721424001 is a deficient number, since it is larger than the sum of its proper divisors (5533773350783).

38035721424001 is a wasteful number, since it uses less digits than its factorization.

38035721424001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556140.

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 38035721424001 in words is "thirty-eight trillion, thirty-five billion, seven hundred twenty-one million, four hundred twenty-four thousand, one".