38364842477268 has 72 divisors (see below), whose sum is σ = 98474355219240. Its totient is φ = 12592124835840.

The previous prime is 38364842477243. The next prime is 38364842477279. The reversal of 38364842477268 is 86277424846383.

38364842477268 is a `hidden beast` number, since 3 + 8 + 36 + 48 + 424 + 7 + 72 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 228635072964 + 38136207404304 = 478158^2 + 6175452^2 .

It is a super-2 number, since 2×38364842477268² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38364842477196 and 38364842477205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24070255 + ... + 25614582.

It is an arithmetic number, because the mean of its divisors is an integer number (1367699378045).

Almost surely, 2^{38364842477268} is an apocalyptic number.

It is an amenable number.

38364842477268 is an abundant number, since it is smaller than the sum of its proper divisors (60109512741972).

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

38364842477268 is a wasteful number, since it uses less digits than its factorization.

38364842477268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49685177 (or 49685172 counting only the distinct ones).

The product of its digits is 2080899072, while the sum is 72.

The spelling of 38364842477268 in words is "thirty-eight trillion, three hundred sixty-four billion, eight hundred forty-two million, four hundred seventy-seven thousand, two hundred sixty-eight".