38455672287735 has 64 divisors (see below), whose sum is σ = 68996903817600. Its totient is φ = 20320334770176.

The previous prime is 38455672287713. The next prime is 38455672287757. The reversal of 38455672287735 is 53778227655483.

38455672287735 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 567 + 2 + 28 + 7 + 7 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (38455672287713) and next prime (38455672287757).

It is not a de Polignac number, because 38455672287735 - 2¹¹ = 38455672285687 is a prime.

It is a super-3 number, since 3×38455672287735³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286536967 + ... + 286671143.

It is an arithmetic number, because the mean of its divisors is an integer number (1078076622150).

Almost surely, 2^{38455672287735} is an apocalyptic number.

38455672287735 is a deficient number, since it is larger than the sum of its proper divisors (30541231529865).

38455672287735 is a wasteful number, since it uses less digits than its factorization.

38455672287735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153777 (or 153771 counting only the distinct ones).

The product of its digits is 2370816000, while the sum is 72.

The spelling of 38455672287735 in words is "thirty-eight trillion, four hundred fifty-five billion, six hundred seventy-two million, two hundred eighty-seven thousand, seven hundred thirty-five".