379877568 has 112 divisors (see below), whose sum is σ = 1198717440. Its totient is φ = 103809024.

The previous prime is 379877567. The next prime is 379877569. The reversal of 379877568 is 865778973.

379877568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (379877567) and next prime (379877569).

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

It is not an unprimeable number, because it can be changed into a prime (379877567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24768 + ... + 37056.

Almost surely, 2^379877568 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 379877568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599358720).

379877568 is an abundant number, since it is smaller than the sum of its proper divisors (818839872).

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

379877568 is a wasteful number, since it uses less digits than its factorization.

379877568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12334 (or 12324 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 60.

The square root of 379877568 is about 19490.4481220930. The cubic root of 379877568 is about 724.2378470297.

The spelling of 379877568 in words is "three hundred seventy-nine million, eight hundred seventy-seven thousand, five hundred sixty-eight".