380120860800 has 384 divisors, whose sum is σ = 1392810408000. Its totient is φ = 101243658240.

The previous prime is 380120860753. The next prime is 380120860807. The reversal of 380120860800 is 8068021083.

380120860800 is a `hidden beast` number, since 38 + 0 + 12 + 0 + 8 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (380120860807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 89249071 + ... + 89253329.

Almost surely, 2^380120860800 is an apocalyptic number.

380120860800 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 380120860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696405204000).

380120860800 is an abundant number, since it is smaller than the sum of its proper divisors (1012689547200).

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

380120860800 is a wasteful number, since it uses less digits than its factorization.

380120860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5325 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 380120860800 its reverse (8068021083), we get a palindrome (388188881883).

The spelling of 380120860800 in words is "three hundred eighty billion, one hundred twenty million, eight hundred sixty thousand, eight hundred".