3800817000 has 512 divisors, whose sum is σ = 14376960000. Its totient is φ = 925344000.

The previous prime is 3800816989. The next prime is 3800817023. The reversal of 3800817000 is 7180083.

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

It is a congruent number.

It is an unprimeable number.

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, 15902881 + ... + 15903119.

It is an arithmetic number, because the mean of its divisors is an integer number (28080000).

Almost surely, 2^3800817000 is an apocalyptic number.

3800817000 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 3800817000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188480000).

3800817000 is an abundant number, since it is smaller than the sum of its proper divisors (10576143000).

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

3800817000 is a wasteful number, since it uses less digits than its factorization.

3800817000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 3800817000 is about 61650.7664185937. The cubic root of 3800817000 is about 1560.6025778645.

Adding to 3800817000 its reverse (7180083), we get a palindrome (3807997083).

The spelling of 3800817000 in words is "three billion, eight hundred million, eight hundred seventeen thousand".