381694320 has 360 divisors, whose sum is σ = 1543651200. Its totient is φ = 84188160.

The previous prime is 381694301. The next prime is 381694337. The reversal of 381694320 is 23496183.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1093506 + ... + 1093854.

It is an arithmetic number, because the mean of its divisors is an integer number (4287920).

Almost surely, 2^381694320 is an apocalyptic number.

381694320 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 381694320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771825600).

381694320 is an abundant number, since it is smaller than the sum of its proper divisors (1161956880).

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

381694320 is a wasteful number, since it uses less digits than its factorization.

381694320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 381694320 is about 19536.9987459691. The cubic root of 381694320 is about 725.3905592856.

The spelling of 381694320 in words is "three hundred eighty-one million, six hundred ninety-four thousand, three hundred twenty".