38856747418938 has 192 divisors, whose sum is σ = 91722684039168. Its totient is φ = 12316298702400.

The previous prime is 38856747418933. The next prime is 38856747418943. The reversal of 38856747418938 is 83981474765883.

38856747418938 is a `hidden beast` number, since 3 + 8 + 8 + 5 + 67 + 474 + 1 + 89 + 3 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (38856747418933) and next prime (38856747418943).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (38856747418933) 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 95 ways as a sum of consecutive naturals, for example, 152881863 + ... + 153135813.

It is an arithmetic number, because the mean of its divisors is an integer number (477722312704).

Almost surely, 2^{38856747418938} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38856747418938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45861342019584).

38856747418938 is an abundant number, since it is smaller than the sum of its proper divisors (52865936620230).

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

38856747418938 is a wasteful number, since it uses less digits than its factorization.

38856747418938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254199 (or 254187 counting only the distinct ones).

The product of its digits is 7803371520, while the sum is 81.

The spelling of 38856747418938 in words is "thirty-eight trillion, eight hundred fifty-six billion, seven hundred forty-seven million, four hundred eighteen thousand, nine hundred thirty-eight".