380542176 has 288 divisors, whose sum is σ = 1339752960. Its totient is φ = 100058112.

The previous prime is 380542171. The next prime is 380542187. The reversal of 380542176 is 671245083.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 380542176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380542171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344531 + ... + 1344813.

It is an arithmetic number, because the mean of its divisors is an integer number (4651920).

Almost surely, 2^380542176 is an apocalyptic number.

380542176 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 380542176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669876480).

380542176 is an abundant number, since it is smaller than the sum of its proper divisors (959210784).

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

380542176 is a wasteful number, since it uses less digits than its factorization.

380542176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 380542176 is about 19507.4902537461. The cubic root of 380542176 is about 724.6599600794.

The spelling of 380542176 in words is "three hundred eighty million, five hundred forty-two thousand, one hundred seventy-six".