38676110221242 has 96 divisors (see below), whose sum is σ = 91392233325120. Its totient is φ = 11749545815040.

The previous prime is 38676110221187. The next prime is 38676110221303. The reversal of 38676110221242 is 24212201167683.

38676110221242 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 611 + 0 + 2 + 2 + 1 + 24 + 2 = 666.

It is a super-3 number, since 3×38676110221242³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7477117 + ... + 11543807.

It is an arithmetic number, because the mean of its divisors is an integer number (952002430470).

Almost surely, 2^{38676110221242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38676110221242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696116662560).

38676110221242 is an abundant number, since it is smaller than the sum of its proper divisors (52716123103878).

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

38676110221242 is a wasteful number, since it uses less digits than its factorization.

38676110221242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067228 (or 4067225 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 38676110221242 in words is "thirty-eight trillion, six hundred seventy-six billion, one hundred ten million, two hundred twenty-one thousand, two hundred forty-two".