379329280 has 144 divisors (see below), whose sum is σ = 1026496800. Its totient is φ = 133038080.

The previous prime is 379329263. The next prime is 379329283. The reversal of 379329280 is 82923973.

379329280 = 116² + 117² + ... + 1044².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379329283) 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, 407856 + ... + 408784.

It is an arithmetic number, because the mean of its divisors is an integer number (7128450).

Almost surely, 2^379329280 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 379329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513248400).

379329280 is an abundant number, since it is smaller than the sum of its proper divisors (647167520).

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

379329280 is a wasteful number, since it uses less digits than its factorization.

379329280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 379329280 is about 19476.3774865862. The cubic root of 379329280 is about 723.8892416266.

The spelling of 379329280 in words is "three hundred seventy-nine million, three hundred twenty-nine thousand, two hundred eighty".