38400120634217 has 4 divisors (see below), whose sum is σ = 38739944710740. Its totient is φ = 38060296557696.

The previous prime is 38400120634181. The next prime is 38400120634259. The reversal of 38400120634217 is 71243602100483.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 19566786046096 + 18833334588121 = 4423436^2 + 4339739^2 .

It is a cyclic number.

It is not a de Polignac number, because 38400120634217 - 2²⁸ = 38399852198761 is a prime.

It is a super-3 number, since 3×38400120634217³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38400120634417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 169912038092 + ... + 169912038317.

It is an arithmetic number, because the mean of its divisors is an integer number (9684986177685).

Almost surely, 2^{38400120634217} is an apocalyptic number.

It is an amenable number.

38400120634217 is a deficient number, since it is larger than the sum of its proper divisors (339824076523).

38400120634217 is a wasteful number, since it uses less digits than its factorization.

38400120634217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339824076522.

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 38400120634217 in words is "thirty-eight trillion, four hundred billion, one hundred twenty million, six hundred thirty-four thousand, two hundred seventeen".