38314148208 has 320 divisors, whose sum is σ = 122877849600. Its totient is φ = 10247344128.

The previous prime is 38314148177. The next prime is 38314148209. The reversal of 38314148208 is 80284141383.

It is a super-2 number, since 2×38314148208² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 38314148208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38314148209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102718710 + ... + 102719082.

It is an arithmetic number, because the mean of its divisors is an integer number (383993280).

Almost surely, 2^38314148208 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 38314148208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61438924800).

38314148208 is an abundant number, since it is smaller than the sum of its proper divisors (84563701392).

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

38314148208 is a wasteful number, since it uses less digits than its factorization.

38314148208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 38314148208 in words is "thirty-eight billion, three hundred fourteen million, one hundred forty-eight thousand, two hundred eight".