3800813184 has 192 divisors, whose sum is σ = 12756120000. Its totient is φ = 1085833728.

The previous prime is 3800813183. The next prime is 3800813189. The reversal of 3800813184 is 4813180083.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3800813183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390327 + ... + 399945.

It is an arithmetic number, because the mean of its divisors is an integer number (66438125).

Almost surely, 2^3800813184 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 3800813184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378060000).

3800813184 is an abundant number, since it is smaller than the sum of its proper divisors (8955306816).

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

3800813184 is an equidigital number, since it uses as much as digits as its factorization.

3800813184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9660 (or 9631 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 3800813184 is about 61650.7354700656. The cubic root of 3800813184 is about 1560.6020555854.

The spelling of 3800813184 in words is "three billion, eight hundred million, eight hundred thirteen thousand, one hundred eighty-four".