381680208 has 480 divisors, whose sum is σ = 1464489600. Its totient is φ = 94058496.

The previous prime is 381680183. The next prime is 381680237. The reversal of 381680208 is 802086183.

381680208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5228460 + ... + 5228532.

It is an arithmetic number, because the mean of its divisors is an integer number (3051020).

Almost surely, 2^381680208 is an apocalyptic number.

381680208 is a gapful number since it is divisible by the number (38) 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 381680208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732244800).

381680208 is an abundant number, since it is smaller than the sum of its proper divisors (1082809392).

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

381680208 is a wasteful number, since it uses less digits than its factorization.

381680208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

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

The square root of 381680208 is about 19536.6375817335. The cubic root of 381680208 is about 725.3816194637.

The spelling of 381680208 in words is "three hundred eighty-one million, six hundred eighty thousand, two hundred eight".