38134044000 has 768 divisors, whose sum is σ = 151307170560. Its totient is φ = 9273139200.

The previous prime is 38134043977. The next prime is 38134044007. The reversal of 38134044000 is 44043183.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38134044007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 220427914 + ... + 220428086.

It is an arithmetic number, because the mean of its divisors is an integer number (197014545).

Almost surely, 2^38134044000 is an apocalyptic number.

38134044000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38134044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75653585280).

38134044000 is an abundant number, since it is smaller than the sum of its proper divisors (113173126560).

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

38134044000 is a wasteful number, since it uses less digits than its factorization.

38134044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 38134044000 its reverse (44043183), we get a palindrome (38178087183).

The spelling of 38134044000 in words is "thirty-eight billion, one hundred thirty-four million, forty-four thousand".