38746338677684 has 96 divisors (see below), whose sum is σ = 78949582588800. Its totient is φ = 16452397762560.

The previous prime is 38746338677663. The next prime is 38746338677749. The reversal of 38746338677684 is 48677683364783.

38746338677684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×38746338677684³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 38746338677599 and 38746338677608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253617032 + ... + 253769760.

It is an arithmetic number, because the mean of its divisors is an integer number (822391485300).

Almost surely, 2^{38746338677684} is an apocalyptic number.

It is an amenable number.

38746338677684 is an abundant number, since it is smaller than the sum of its proper divisors (40203243911116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38746338677684 is a wasteful number, since it uses less digits than its factorization.

38746338677684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156993 (or 156991 counting only the distinct ones).

The product of its digits is 16387080192, while the sum is 80.

The spelling of 38746338677684 in words is "thirty-eight trillion, seven hundred forty-six billion, three hundred thirty-eight million, six hundred seventy-seven thousand, six hundred eighty-four".