380287600 has 120 divisors (see below), whose sum is σ = 1139177088. Its totient is φ = 118521600.

The previous prime is 380287559. The next prime is 380287613. The reversal of 380287600 is 6782083.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24627 + ... + 36973.

Almost surely, 2^380287600 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 380287600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569588544).

380287600 is an abundant number, since it is smaller than the sum of its proper divisors (758889488).

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

380287600 is a wasteful number, since it uses less digits than its factorization.

380287600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12383 (or 12372 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 380287600 is about 19500.9640787321. The cubic root of 380287600 is about 724.4983291231.

The spelling of 380287600 in words is "three hundred eighty million, two hundred eighty-seven thousand, six hundred".