38414308128 has 288 divisors, whose sum is σ = 127567488384. Its totient is φ = 10049937408.

The previous prime is 38414308081. The next prime is 38414308133. The reversal of 38414308128 is 82180341483.

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 38414308128.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2952325 + ... + 2965307.

It is an arithmetic number, because the mean of its divisors is an integer number (442942668).

Almost surely, 2^38414308128 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 38414308128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63783744192).

38414308128 is an abundant number, since it is smaller than the sum of its proper divisors (89153180256).

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

38414308128 is a wasteful number, since it uses less digits than its factorization.

38414308128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13064 (or 13049 counting only the distinct ones).

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

The spelling of 38414308128 in words is "thirty-eight billion, four hundred fourteen million, three hundred eight thousand, one hundred twenty-eight".