3799200384 has 192 divisors, whose sum is σ = 12800249280. Its totient is φ = 1058918400.

The previous prime is 3799200359. The next prime is 3799200413. The reversal of 3799200384 is 4830029973.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324879 + ... + 336369.

It is an arithmetic number, because the mean of its divisors is an integer number (66667965).

Almost surely, 2^3799200384 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 3799200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400124640).

3799200384 is an abundant number, since it is smaller than the sum of its proper divisors (9001048896).

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

3799200384 is a wasteful number, since it uses less digits than its factorization.

3799200384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11559 (or 11544 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3799200384 is about 61637.6539462689. The cubic root of 3799200384 is about 1560.3812874706.

The spelling of 3799200384 in words is "three billion, seven hundred ninety-nine million, two hundred thousand, three hundred eighty-four".