380304425749248 has 4608 divisors, whose sum is σ = 1631751313489920. Its totient is φ = 84169394749440.

The previous prime is 380304425749247. The next prime is 380304425749267. The reversal of 380304425749248 is 842947524403083.

380304425749248 is a `hidden beast` number, since 3 + 8 + 0 + 30 + 4 + 4 + 2 + 574 + 9 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (380304425749247) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 565088299440 + ... + 565088300112.

It is an arithmetic number, because the mean of its divisors is an integer number (354112698240).

Almost surely, 2^{380304425749248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380304425749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815875656744960).

380304425749248 is an abundant number, since it is smaller than the sum of its proper divisors (1251446887740672).

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

380304425749248 is a wasteful number, since it uses less digits than its factorization.

380304425749248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 380304425749248 in words is "three hundred eighty trillion, three hundred four billion, four hundred twenty-five million, seven hundred forty-nine thousand, two hundred forty-eight".