38080320000 has 200 divisors, whose sum is σ = 126773057136. Its totient is φ = 10154496000.

The previous prime is 38080319999. The next prime is 38080320073. The reversal of 38080320000 is 2308083.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×38080320000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 940167 + ... + 979833.

Almost surely, 2^38080320000 is an apocalyptic number.

38080320000 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 38080320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63386528568).

38080320000 is an abundant number, since it is smaller than the sum of its proper divisors (88692737136).

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

38080320000 is an frugal number, since it uses more digits than its factorization.

38080320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39708 (or 39677 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 38080320000 its reverse (2308083), we get a palindrome (38082628083).

The spelling of 38080320000 in words is "thirty-eight billion, eighty million, three hundred twenty thousand".