38368086318 has 160 divisors (see below), whose sum is σ = 95284537920. Its totient is φ = 11477790720.

The previous prime is 38368086313. The next prime is 38368086401. The reversal of 38368086318 is 81368086383.

It is a happy number.

It is a super-2 number, since 2×38368086318² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38368086313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25906138 + ... + 25907618.

It is an arithmetic number, because the mean of its divisors is an integer number (595528362).

Almost surely, 2^38368086318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38368086318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47642268960).

38368086318 is an abundant number, since it is smaller than the sum of its proper divisors (56916451602).

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

38368086318 is a wasteful number, since it uses less digits than its factorization.

38368086318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 38368086318 in words is "thirty-eight billion, three hundred sixty-eight million, eighty-six thousand, three hundred eighteen".