379743168 has 112 divisors (see below), whose sum is σ = 1187988480. Its totient is φ = 104745984.

The previous prime is 379743151. The next prime is 379743187. The reversal of 379743168 is 861347973.

It is a Cunningham number, because it is equal to 19487²-1.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 34105 + ... + 43847.

It is an arithmetic number, because the mean of its divisors is an integer number (10607040).

Almost surely, 2^379743168 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 379743168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593994240).

379743168 is an abundant number, since it is smaller than the sum of its proper divisors (808245312).

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

379743168 is a wasteful number, since it uses less digits than its factorization.

379743168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9794 (or 9784 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 379743168 is about 19486.9999743419. Note that the first 4 decimals coincide. The cubic root of 379743168 is about 724.1524256059.

The spelling of 379743168 in words is "three hundred seventy-nine million, seven hundred forty-three thousand, one hundred sixty-eight".