380938368 has 64 divisors (see below), whose sum is σ = 1020938400. Its totient is φ = 125841408.

The previous prime is 380938361. The next prime is 380938379. The reversal of 380938368 is 863839083.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×380938368² = 290228080429006848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (380938361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39003 + ... + 47781.

Almost surely, 2^380938368 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 380938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510469200).

380938368 is an abundant number, since it is smaller than the sum of its proper divisors (640000032).

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

380938368 is a wasteful number, since it uses less digits than its factorization.

380938368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8909 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 380938368 is about 19517.6424805866. The cubic root of 380938368 is about 724.9113600708.

The spelling of 380938368 in words is "three hundred eighty million, nine hundred thirty-eight thousand, three hundred sixty-eight".