380613168 has 400 divisors, whose sum is σ = 1323352800. Its totient is φ = 104509440.

The previous prime is 380613151. The next prime is 380613169. The reversal of 380613168 is 861316083.

380613168 is a `hidden beast` number, since 38 + 0 + 613 + 1 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (380613169) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9283228 + ... + 9283268.

It is an arithmetic number, because the mean of its divisors is an integer number (3308382).

Almost surely, 2^380613168 is an apocalyptic number.

380613168 is a gapful number since it is divisible by the number (38) 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 380613168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661676400).

380613168 is an abundant number, since it is smaller than the sum of its proper divisors (942739632).

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

380613168 is a wasteful number, since it uses less digits than its factorization.

380613168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 380613168 is about 19509.3097776421. The cubic root of 380613168 is about 724.7050202281.

The spelling of 380613168 in words is "three hundred eighty million, six hundred thirteen thousand, one hundred sixty-eight".