380398176058032 has 720 divisors, whose sum is σ = 1210998071162880. Its totient is φ = 111336001920000.

The previous prime is 380398176057971. The next prime is 380398176058139. The reversal of 380398176058032 is 230850671893083.

380398176058032 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 9 + 8 + 17 + 6 + 0 + 580 + 32 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13601665713 + ... + 13601693679.

It is an arithmetic number, because the mean of its divisors is an integer number (1681941765504).

Almost surely, 2^{380398176058032} 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 380398176058032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605499035581440).

380398176058032 is an abundant number, since it is smaller than the sum of its proper divisors (830599895104848).

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

380398176058032 is a wasteful number, since it uses less digits than its factorization.

380398176058032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28294 (or 28274 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 380398176058032 in words is "three hundred eighty trillion, three hundred ninety-eight billion, one hundred seventy-six million, fifty-eight thousand, thirty-two".