38346762168 has 384 divisors, whose sum is σ = 126678988800. Its totient is φ = 10320307200.

The previous prime is 38346762161. The next prime is 38346762169. The reversal of 38346762168 is 86126764383.

38346762168 is a `hidden beast` number, since 3 + 8 + 3 + 4 + 6 + 7 + 621 + 6 + 8 = 666.

Its product of digits (6967296) is a multiple of the sum of its prime divisors (756).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38346762161) 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, 101178603 + ... + 101178981.

It is an arithmetic number, because the mean of its divisors is an integer number (329893200).

Almost surely, 2^38346762168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38346762168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63339494400).

38346762168 is an abundant number, since it is smaller than the sum of its proper divisors (88332226632).

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

38346762168 is a wasteful number, since it uses less digits than its factorization.

38346762168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 756 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 38346762168 in words is "thirty-eight billion, three hundred forty-six million, seven hundred sixty-two thousand, one hundred sixty-eight".