38001817000 has 128 divisors (see below), whose sum is σ = 107606154240. Its totient is φ = 12262732800.

The previous prime is 38001816977. The next prime is 38001817001. The reversal of 38001817000 is 71810083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 38001817000.

It is not an unprimeable number, because it can be changed into a prime (38001817001) 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 31 ways as a sum of consecutive naturals, for example, 40672 + ... + 278671.

It is an arithmetic number, because the mean of its divisors is an integer number (840673080).

Almost surely, 2^38001817000 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 38001817000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53803077120).

38001817000 is an abundant number, since it is smaller than the sum of its proper divisors (69604337240).

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

38001817000 is a wasteful number, since it uses less digits than its factorization.

38001817000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319388 (or 319374 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The spelling of 38001817000 in words is "thirty-eight billion, one million, eight hundred seventeen thousand".