38435144000 has 224 divisors, whose sum is σ = 104816574720. Its totient is φ = 13844736000.

The previous prime is 38435143979. The next prime is 38435144003. The reversal of 38435144000 is 44153483.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38435144003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9589997 + ... + 9594003.

Almost surely, 2^38435144000 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 38435144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52408287360).

38435144000 is an abundant number, since it is smaller than the sum of its proper divisors (66381430720).

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

38435144000 is a wasteful number, since it uses less digits than its factorization.

38435144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 38435144000 its reverse (44153483), we get a palindrome (38479297483).

The spelling of 38435144000 in words is "thirty-eight billion, four hundred thirty-five million, one hundred forty-four thousand".