38388042309888 has 216 divisors, whose sum is σ = 114845517754968. Its totient is φ = 12321820901376.

The previous prime is 38388042309817. The next prime is 38388042309893. The reversal of 38388042309888 is 88890324088383.

38388042309888 is a `hidden beast` number, since 3 + 8 + 38 + 8 + 0 + 423 + 0 + 98 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5473129238784 + 32914913071104 = 2339472^2 + 5737152^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5947870 + ... + 10590242.

Almost surely, 2^{38388042309888} 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 38388042309888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57422758877484).

38388042309888 is an abundant number, since it is smaller than the sum of its proper divisors (76457475445080).

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

38388042309888 is a wasteful number, since it uses less digits than its factorization.

38388042309888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642529 (or 4642512 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

The spelling of 38388042309888 in words is "thirty-eight trillion, three hundred eighty-eight billion, forty-two million, three hundred nine thousand, eight hundred eighty-eight".