380919600720 has 200 divisors, whose sum is σ = 1323909958536. Its totient is φ = 101507945472.

The previous prime is 380919600707. The next prime is 380919600739. The reversal of 380919600720 is 27006919083.

380919600720 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 19 + 600 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 218552510016 + 162367090704 = 467496^2 + 402948^2 .

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9654954 + ... + 9694326.

Almost surely, 2^380919600720 is an apocalyptic number.

380919600720 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 380919600720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661954979268).

380919600720 is an abundant number, since it is smaller than the sum of its proper divisors (942990357816).

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

380919600720 is a wasteful number, since it uses less digits than its factorization.

380919600720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40891 (or 40876 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 380919600720 in words is "three hundred eighty billion, nine hundred nineteen million, six hundred thousand, seven hundred twenty".