380736 has 42 divisors (see below), whose sum is σ = 1092962. Its totient is φ = 126720.

The previous prime is 380729. The next prime is 380753. The reversal of 380736 is 637083.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 20736 = 600^2 + 144^2 .

It is a congruent number.

It is an unprimeable number.

380736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 246 + ... + 906.

2³⁸⁰⁷³⁶ is an apocalyptic number.

380736 is a gapful number since it is divisible by the number (36) 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 380736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546481).

380736 is an abundant number, since it is smaller than the sum of its proper divisors (712226).

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

380736 is a wasteful number, since it uses less digits than its factorization.

380736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 380736 is about 617.0380863448. The cubic root of 380736 is about 72.4782971107.

The spelling of 380736 in words is "three hundred eighty thousand, seven hundred thirty-six".