3799941120 has 256 divisors, whose sum is σ = 13526424000. Its totient is φ = 1012137984.

The previous prime is 3799941097. The next prime is 3799941127. The reversal of 3799941120 is 211499973.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3799941127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4423251 + ... + 4424109.

Almost surely, 2^3799941120 is an apocalyptic number.

3799941120 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 3799941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763212000).

3799941120 is an abundant number, since it is smaller than the sum of its proper divisors (9726482880).

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

3799941120 is an frugal number, since it uses more digits than its factorization.

3799941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 3799941120 is about 61643.6624479759. The cubic root of 3799941120 is about 1560.4826908684.

It can be divided in two parts, 379 and 9941120, that added together give a palindrome (9941499).

The spelling of 3799941120 in words is "three billion, seven hundred ninety-nine million, nine hundred forty-one thousand, one hundred twenty".