379314720 has 144 divisors (see below), whose sum is σ = 1300971672. Its totient is φ = 100638720.

The previous prime is 379314709. The next prime is 379314721. The reversal of 379314720 is 27413973.

It can be written as a sum of positive squares in 4 ways, for example, as 379314576 + 144 = 19476^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (379314721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346494 + ... + 347586.

Almost surely, 2^379314720 is an apocalyptic number.

379314720 is a gapful number since it is divisible by the number (30) 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 379314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650485836).

379314720 is an abundant number, since it is smaller than the sum of its proper divisors (921656952).

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

379314720 is a wasteful number, since it uses less digits than its factorization.

379314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 379314720 is about 19476.0036968573. The cubic root of 379314720 is about 723.8799796979.

The spelling of 379314720 in words is "three hundred seventy-nine million, three hundred fourteen thousand, seven hundred twenty".