38238144000 has 640 divisors, whose sum is σ = 151733716992. Its totient is φ = 8353382400.

The previous prime is 38238143947. The next prime is 38238144017. The reversal of 38238144000 is 44183283.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

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, 30911382 + ... + 30912618.

Almost surely, 2^38238144000 is an apocalyptic number.

38238144000 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 38238144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75866858496).

38238144000 is an abundant number, since it is smaller than the sum of its proper divisors (113495572992).

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

38238144000 is a wasteful number, since it uses less digits than its factorization.

38238144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 38238144000 in words is "thirty-eight billion, two hundred thirty-eight million, one hundred forty-four thousand".