39803811900 has 216 divisors, whose sum is σ = 125346883536. Its totient is φ = 9718272000.

The previous prime is 39803811871. The next prime is 39803811947. The reversal of 39803811900 is 911830893.

It is a happy number.

It is a super-2 number, since 2×39803811900² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6979050 + ... + 6984750.

It is an arithmetic number, because the mean of its divisors is an integer number (580309646).

Almost surely, 2^39803811900 is an apocalyptic number.

39803811900 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 39803811900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62673441768).

39803811900 is an abundant number, since it is smaller than the sum of its proper divisors (85543071636).

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

39803811900 is a wasteful number, since it uses less digits than its factorization.

39803811900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 39803811900 in words is "thirty-nine billion, eight hundred three million, eight hundred eleven thousand, nine hundred".