38283840000 has 1000 divisors, whose sum is σ = 163959991008. Its totient is φ = 8709120000.

The previous prime is 38283839969. The next prime is 38283840037. The reversal of 38283840000 is 4838283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 99 ways as a sum of consecutive naturals, for example, 181439895 + ... + 181440105.

Almost surely, 2^38283840000 is an apocalyptic number.

38283840000 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 38283840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81979995504).

38283840000 is an abundant number, since it is smaller than the sum of its proper divisors (125676151008).

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

38283840000 is an frugal number, since it uses more digits than its factorization.

38283840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 38283840000 in words is "thirty-eight billion, two hundred eighty-three million, eight hundred forty thousand".