380348224 has 56 divisors (see below), whose sum is σ = 788898600. Its totient is φ = 181708800.

The previous prime is 380348219. The next prime is 380348231. The reversal of 380348224 is 422843083.

It can be written as a sum of positive squares in 4 ways, for example, as 284934400 + 95413824 = 16880^2 + 9768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 380348224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186442 + ... + 188470.

It is an arithmetic number, because the mean of its divisors is an integer number (14087475).

Almost surely, 2^380348224 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 380348224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394449300).

380348224 is an abundant number, since it is smaller than the sum of its proper divisors (408550376).

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

380348224 is a wasteful number, since it uses less digits than its factorization.

380348224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 380348224 is about 19502.5184014783. The cubic root of 380348224 is about 724.5368259984.

The spelling of 380348224 in words is "three hundred eighty million, three hundred forty-eight thousand, two hundred twenty-four".