383382720000 has 1000 divisors, whose sum is σ = 1634959532976. Its totient is φ = 87588864000.

The previous prime is 383382719989. The next prime is 383382720037. The reversal of 383382720000 is 27283383.

383382720000 is a `hidden beast` number, since 383 + 3 + 8 + 272 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a super-3 number, since 3×383382720000³ (a number of 36 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 181438944 + ... + 181441056.

Almost surely, 2^383382720000 is an apocalyptic number.

383382720000 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 383382720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817479766488).

383382720000 is an abundant number, since it is smaller than the sum of its proper divisors (1251576812976).

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

383382720000 is an frugal number, since it uses more digits than its factorization.

383382720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 383382720000 in words is "three hundred eighty-three billion, three hundred eighty-two million, seven hundred twenty thousand".