380307648 has 224 divisors, whose sum is σ = 1237731840. Its totient is φ = 100638720.

The previous prime is 380307643. The next prime is 380307661. The reversal of 380307648 is 846703083.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380307643) 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 31 ways as a sum of consecutive naturals, for example, 1353268 + ... + 1353548.

Almost surely, 2^380307648 is an apocalyptic number.

380307648 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 380307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618865920).

380307648 is an abundant number, since it is smaller than the sum of its proper divisors (857424192).

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

380307648 is a wasteful number, since it uses less digits than its factorization.

380307648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 380307648 is about 19501.4780978263. The cubic root of 380307648 is about 724.5110602660.

The spelling of 380307648 in words is "three hundred eighty million, three hundred seven thousand, six hundred forty-eight".