379641768 has 128 divisors (see below), whose sum is σ = 1064448000. Its totient is φ = 111870720.

The previous prime is 379641761. The next prime is 379641803. The reversal of 379641768 is 867146973.

379641768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 379641768.

It is not an unprimeable number, because it can be changed into a prime (379641761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2273221 + ... + 2273387.

It is an arithmetic number, because the mean of its divisors is an integer number (8316000).

Almost surely, 2^379641768 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 379641768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224000).

379641768 is an abundant number, since it is smaller than the sum of its proper divisors (684806232).

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

379641768 is a wasteful number, since it uses less digits than its factorization.

379641768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The square root of 379641768 is about 19484.3980661451. The cubic root of 379641768 is about 724.0879648520.

The spelling of 379641768 in words is "three hundred seventy-nine million, six hundred forty-one thousand, seven hundred sixty-eight".