380207360 has 144 divisors (see below), whose sum is σ = 997382064. Its totient is φ = 138018816.

The previous prime is 380207357. The next prime is 380207381. The reversal of 380207360 is 63702083.

It can be written as a sum of positive squares in 8 ways, for example, as 115949824 + 264257536 = 10768^2 + 16256^2 .

It is a super-3 number, since 3×380207360³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214564 + ... + 1214876.

Almost surely, 2^380207360 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 380207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498691032).

380207360 is an abundant number, since it is smaller than the sum of its proper divisors (617174704).

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

380207360 is a wasteful number, since it uses less digits than its factorization.

380207360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 380207360 is about 19498.9066360142. The cubic root of 380207360 is about 724.4473695905.

The spelling of 380207360 in words is "three hundred eighty million, two hundred seven thousand, three hundred sixty".