379327872 has 128 divisors (see below), whose sum is σ = 1256313600. Its totient is φ = 98519040.

The previous prime is 379327867. The next prime is 379327877. The reversal of 379327872 is 278723973.

It is an interprime number because it is at equal distance from previous prime (379327867) and next prime (379327877).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379327877) 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, 23154 + ... + 35982.

It is an arithmetic number, because the mean of its divisors is an integer number (9814950).

Almost surely, 2^379327872 is an apocalyptic number.

379327872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379327872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628156800).

379327872 is an abundant number, since it is smaller than the sum of its proper divisors (876985728).

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

379327872 is a wasteful number, since it uses less digits than its factorization.

379327872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12864 (or 12852 counting only the distinct ones).

The product of its digits is 889056, while the sum is 48.

The square root of 379327872 is about 19476.3413402004. The cubic root of 379327872 is about 723.8883459779. Note that the first 3 decimals are identical.

The spelling of 379327872 in words is "three hundred seventy-nine million, three hundred twenty-seven thousand, eight hundred seventy-two".