379284768 has 240 divisors, whose sum is σ = 1183333536. Its totient is φ = 119024640.

The previous prime is 379284761. The next prime is 379284781. The reversal of 379284768 is 867482973.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4064256) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379284761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4569655 + ... + 4569737.

Almost surely, 2^379284768 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 379284768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591666768).

379284768 is an abundant number, since it is smaller than the sum of its proper divisors (804048768).

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

379284768 is a wasteful number, since it uses less digits than its factorization.

379284768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 379284768 is about 19475.2347354275. The cubic root of 379284768 is about 723.8609258421.

The spelling of 379284768 in words is "three hundred seventy-nine million, two hundred eighty-four thousand, seven hundred sixty-eight".