380635200 has 504 divisors, whose sum is σ = 1547713440. Its totient is φ = 91238400.

The previous prime is 380635163. The next prime is 380635201. The reversal of 380635200 is 2536083.

380635200 is a `hidden beast` number, since 3 + 8 + 0 + 635 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (380635201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4276756 + ... + 4276844.

It is an arithmetic number, because the mean of its divisors is an integer number (3070860).

Almost surely, 2^380635200 is an apocalyptic number.

380635200 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 380635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773856720).

380635200 is an abundant number, since it is smaller than the sum of its proper divisors (1167078240).

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

380635200 is a wasteful number, since it uses less digits than its factorization.

380635200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 380635200 is about 19509.8744229685. The cubic root of 380635200 is about 724.7190032729.

The spelling of 380635200 in words is "three hundred eighty million, six hundred thirty-five thousand, two hundred".