380585745120 has 384 divisors, whose sum is σ = 1415979048960. Its totient is φ = 84085309440.

The previous prime is 380585745041. The next prime is 380585745139. The reversal of 380585745120 is 21547585083.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 380585745120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120094896 + ... + 120098064.

It is an arithmetic number, because the mean of its divisors is an integer number (3687445440).

Almost surely, 2^380585745120 is an apocalyptic number.

380585745120 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 380585745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707989524480).

380585745120 is an abundant number, since it is smaller than the sum of its proper divisors (1035393303840).

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

380585745120 is a wasteful number, since it uses less digits than its factorization.

380585745120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 380585745120 in words is "three hundred eighty billion, five hundred eighty-five million, seven hundred forty-five thousand, one hundred twenty".