38334726144 has 640 divisors, whose sum is σ = 135883938960. Its totient is φ = 10616832000.

The previous prime is 38334726091. The next prime is 38334726149. The reversal of 38334726144 is 44162743383.

38334726144 is a `hidden beast` number, since 3 + 8 + 3 + 347 + 261 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38334726144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38334726149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 379551694 + ... + 379551794.

Almost surely, 2^38334726144 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 38334726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67941969480).

38334726144 is an abundant number, since it is smaller than the sum of its proper divisors (97549212816).

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

38334726144 is a wasteful number, since it uses less digits than its factorization.

38334726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 38334726144 in words is "thirty-eight billion, three hundred thirty-four million, seven hundred twenty-six thousand, one hundred forty-four".