380320419375 has 480 divisors, whose sum is σ = 825287823360. Its totient is φ = 166924800000.

The previous prime is 380320419343. The next prime is 380320419379. The reversal of 380320419375 is 573914023083.

It is not a de Polignac number, because 380320419375 - 2⁵ = 380320419343 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 380320419375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380320419379) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2736118056 + ... + 2736118194.

It is an arithmetic number, because the mean of its divisors is an integer number (1719349632).

Almost surely, 2^380320419375 is an apocalyptic number.

380320419375 is an abundant number, since it is smaller than the sum of its proper divisors (444967403985).

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

380320419375 is a wasteful number, since it uses less digits than its factorization.

380320419375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 380320419375 in words is "three hundred eighty billion, three hundred twenty million, four hundred nineteen thousand, three hundred seventy-five".