380210688 has 240 divisors, whose sum is σ = 1291386096. Its totient is φ = 106168320.

The previous prime is 380210681. The next prime is 380210689. The reversal of 380210688 is 886012083.

380210688 is a `hidden beast` number, since 380 + 210 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380210681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658656 + ... + 659232.

Almost surely, 2^380210688 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 380210688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645693048).

380210688 is an abundant number, since it is smaller than the sum of its proper divisors (911175408).

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

380210688 is a wasteful number, since it uses less digits than its factorization.

380210688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 380210688 is about 19498.9919739457. The cubic root of 380210688 is about 724.4494833088.

The spelling of 380210688 in words is "three hundred eighty million, two hundred ten thousand, six hundred eighty-eight".