3810990800 has 60 divisors (see below), whose sum is σ = 9221909760. Its totient is φ = 1513407360.

The previous prime is 3810990779. The next prime is 3810990847. The reversal of 3810990800 is 80990183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21329 + ... + 89871.

It is an arithmetic number, because the mean of its divisors is an integer number (153698496).

Almost surely, 2^3810990800 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 3810990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610954880).

3810990800 is an abundant number, since it is smaller than the sum of its proper divisors (5410918960).

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

3810990800 is a wasteful number, since it uses less digits than its factorization.

3810990800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68700 (or 68689 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 3810990800 is about 61733.2228220753. Note that the first 3 decimals coincide. The cubic root of 3810990800 is about 1561.9937799054.

The spelling of 3810990800 in words is "three billion, eight hundred ten million, nine hundred ninety thousand, eight hundred".