1382008320 has 960 divisors, whose sum is σ = 6434588160. Its totient is φ = 265420800.

The previous prime is 1382008283. The next prime is 1382008363. The reversal of 1382008320 is 238002831.

1382008320 is a `hidden beast` number, since 138 + 200 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33707500 + ... + 33707540.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^1382008320 is an apocalyptic number.

1382008320 is a gapful number since it is divisible by the number (10) 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 1382008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217294080).

1382008320 is an abundant number, since it is smaller than the sum of its proper divisors (5052579840).

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

1382008320 is a wasteful number, since it uses less digits than its factorization.

1382008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1382008320 is about 37175.3724930901. The cubic root of 1382008320 is about 1113.8761007822.

The spelling of 1382008320 in words is "one billion, three hundred eighty-two million, eight thousand, three hundred twenty".