379810816 has 88 divisors (see below), whose sum is σ = 946794816. Its totient is φ = 147947520.

The previous prime is 379810811. The next prime is 379810819. The reversal of 379810816 is 618018973.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379810811) 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 7 ways as a sum of consecutive naturals, for example, 76440 + ... + 81256.

It is an arithmetic number, because the mean of its divisors is an integer number (10759032).

Almost surely, 2^379810816 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 379810816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473397408).

379810816 is an abundant number, since it is smaller than the sum of its proper divisors (566984000).

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

379810816 is a wasteful number, since it uses less digits than its factorization.

379810816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The square root of 379810816 is about 19488.7356183001. The cubic root of 379810816 is about 724.1954235747.

The spelling of 379810816 in words is "three hundred seventy-nine million, eight hundred ten thousand, eight hundred sixteen".