38682085101761 has 32 divisors (see below), whose sum is σ = 41470565068800. Its totient is φ = 36000199872000.

The previous prime is 38682085101731. The next prime is 38682085101763. The reversal of 38682085101761 is 16710158028683.

It is a cyclic number.

It is not a de Polignac number, because 38682085101761 - 2¹⁴ = 38682085085377 is a prime.

It is a super-2 number, since 2×38682085101761² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38682085101697 and 38682085101706.

It is not an unprimeable number, because it can be changed into a prime (38682085101763) 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, 1110228701 + ... + 1110263541.

It is an arithmetic number, because the mean of its divisors is an integer number (1295955158400).

Almost surely, 2^{38682085101761} is an apocalyptic number.

38682085101761 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

38682085101761 is a deficient number, since it is larger than the sum of its proper divisors (2788479967039).

38682085101761 is a wasteful number, since it uses less digits than its factorization.

38682085101761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39761.

The product of its (nonzero) digits is 3870720, while the sum is 56.

The spelling of 38682085101761 in words is "thirty-eight trillion, six hundred eighty-two billion, eighty-five million, one hundred one thousand, seven hundred sixty-one".