38433082442888 has 256 divisors, whose sum is σ = 88927844544000. Its totient is φ = 15199184093184.

The previous prime is 38433082442743. The next prime is 38433082442899. The reversal of 38433082442888 is 88824428033483.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4514630120 + ... + 4514638632.

It is an arithmetic number, because the mean of its divisors is an integer number (347374392750).

Almost surely, 2^{38433082442888} 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 38433082442888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44463922272000).

38433082442888 is an abundant number, since it is smaller than the sum of its proper divisors (50494762101112).

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

38433082442888 is a wasteful number, since it uses less digits than its factorization.

38433082442888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9104 (or 9100 counting only the distinct ones).

The product of its (nonzero) digits is 226492416, while the sum is 65.

The spelling of 38433082442888 in words is "thirty-eight trillion, four hundred thirty-three billion, eighty-two million, four hundred forty-two thousand, eight hundred eighty-eight".