380314080 has 144 divisors (see below), whose sum is σ = 1310268960. Its totient is φ = 100445184.

The previous prime is 380314079. The next prime is 380314097. The reversal of 380314080 is 80413083.

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

It is a congruent number.

It is an unprimeable number.

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, 155749 + ... + 158171.

It is an arithmetic number, because the mean of its divisors is an integer number (9099090).

Almost surely, 2^380314080 is an apocalyptic number.

380314080 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 380314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655134480).

380314080 is an abundant number, since it is smaller than the sum of its proper divisors (929954880).

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

380314080 is a wasteful number, since it uses less digits than its factorization.

380314080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 380314080 is about 19501.6430077058. The cubic root of 380314080 is about 724.5151447038.

The spelling of 380314080 in words is "three hundred eighty million, three hundred fourteen thousand, eighty".