380637600 has 288 divisors, whose sum is σ = 1434908160. Its totient is φ = 85847040.

The previous prime is 380637559. The next prime is 380637601. The reversal of 380637600 is 6736083.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (380637601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2335119 + ... + 2335281.

It is an arithmetic number, because the mean of its divisors is an integer number (4982320).

Almost surely, 2^380637600 is an apocalyptic number.

380637600 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 380637600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717454080).

380637600 is an abundant number, since it is smaller than the sum of its proper divisors (1054270560).

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

380637600 is a wasteful number, since it uses less digits than its factorization.

380637600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 380637600 is about 19509.9359301870. The cubic root of 380637600 is about 724.7205264478.

The spelling of 380637600 in words is "three hundred eighty million, six hundred thirty-seven thousand, six hundred".