380588544000 has 2496 divisors, whose sum is σ = 1786052136960. Its totient is φ = 78829977600.

The previous prime is 380588543983. The next prime is 380588544041. The reversal of 380588544000 is 445885083.

380588544000 is a `hidden beast` number, since 3 + 80 + 58 + 85 + 440 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 16547327989 + ... + 16547328011.

It is an arithmetic number, because the mean of its divisors is an integer number (715565760).

Almost surely, 2^380588544000 is an apocalyptic number.

380588544000 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 380588544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893026068480).

380588544000 is an abundant number, since it is smaller than the sum of its proper divisors (1405463592960).

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

380588544000 is an equidigital number, since it uses as much as digits as its factorization.

380588544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 380588544000 in words is "three hundred eighty billion, five hundred eighty-eight million, five hundred forty-four thousand".