38820064282241 has 32 divisors (see below), whose sum is σ = 44897301820800. Its totient is φ = 33172822932480.

The previous prime is 38820064282213. The next prime is 38820064282243. The reversal of 38820064282241 is 14228246002883.

It is a de Polignac number, because none of the positive numbers 2^k-38820064282241 is a prime.

It is a super-4 number, since 4×38820064282241⁴ (a number of 55 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38820064282241.

It is not an unprimeable number, because it can be changed into a prime (38820064282243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478021346 + ... + 478102548.

It is an arithmetic number, because the mean of its divisors is an integer number (1403040681900).

Almost surely, 2^{38820064282241} is an apocalyptic number.

It is an amenable number.

38820064282241 is a deficient number, since it is larger than the sum of its proper divisors (6077237538559).

38820064282241 is a wasteful number, since it uses less digits than its factorization.

38820064282241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84449.

The product of its (nonzero) digits is 2359296, while the sum is 50.

It can be divided in two parts, 388200642 and 82241, that added together give a palindrome (388282883).

The spelling of 38820064282241 in words is "thirty-eight trillion, eight hundred twenty billion, sixty-four million, two hundred eighty-two thousand, two hundred forty-one".