38742587103269 has 192 divisors, whose sum is σ = 52614414090240. Its totient is φ = 27813366005760.

The previous prime is 38742587103263. The next prime is 38742587103313. The reversal of 38742587103269 is 96230178524783.

It is a de Polignac number, because none of the positive numbers 2^k-38742587103269 is a prime.

It is a super-2 number, since 2×38742587103269² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38742587103263) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25438336142 + ... + 25438337664.

It is an arithmetic number, because the mean of its divisors is an integer number (274033406720).

It is a 1-persistent number, because it is pandigital, but 2⋅38742587103269 = 77485174206538 is not.

Almost surely, 2^{38742587103269} is an apocalyptic number.

It is an amenable number.

38742587103269 is a deficient number, since it is larger than the sum of its proper divisors (13871826986971).

38742587103269 is a wasteful number, since it uses less digits than its factorization.

38742587103269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 65.

The spelling of 38742587103269 in words is "thirty-eight trillion, seven hundred forty-two billion, five hundred eighty-seven million, one hundred three thousand, two hundred sixty-nine".