380460802176 has 384 divisors, whose sum is σ = 1378818080640. Its totient is φ = 98006630400.

The previous prime is 380460802151. The next prime is 380460802199. The reversal of 380460802176 is 671208064083.

380460802176 is a `hidden beast` number, since 38 + 0 + 4 + 608 + 0 + 2 + 1 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4465576 + ... + 4549976.

It is an arithmetic number, because the mean of its divisors is an integer number (3590672085).

Almost surely, 2^380460802176 is an apocalyptic number.

380460802176 is a gapful number since it is divisible by the number (36) 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 380460802176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689409040320).

380460802176 is an abundant number, since it is smaller than the sum of its proper divisors (998357278464).

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

380460802176 is a wasteful number, since it uses less digits than its factorization.

380460802176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84484 (or 84469 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 380460802176 in words is "three hundred eighty billion, four hundred sixty million, eight hundred two thousand, one hundred seventy-six".