380308158720 has 2304 divisors, whose sum is σ = 1785795379200. Its totient is φ = 74530160640.

The previous prime is 380308158707. The next prime is 380308158721. The reversal of 380308158720 is 27851803083.

380308158720 is a `hidden beast` number, since 38 + 0 + 30 + 8 + 1 + 587 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (380308158721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2422344882 + ... + 2422345038.

It is an arithmetic number, because the mean of its divisors is an integer number (775084800).

Almost surely, 2^380308158720 is an apocalyptic number.

380308158720 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 380308158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892897689600).

380308158720 is an abundant number, since it is smaller than the sum of its proper divisors (1405487220480).

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

380308158720 is a wasteful number, since it uses less digits than its factorization.

380308158720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 380308158720 in words is "three hundred eighty billion, three hundred eight million, one hundred fifty-eight thousand, seven hundred twenty".