383280768 has 256 divisors, whose sum is σ = 1285200000. Its totient is φ = 111476736.

The previous prime is 383280761. The next prime is 383280769. The reversal of 383280768 is 867082383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383280761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853408 + ... + 853856.

Almost surely, 2^383280768 is an apocalyptic number.

383280768 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 383280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642600000).

383280768 is an abundant number, since it is smaller than the sum of its proper divisors (901919232).

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

383280768 is a wasteful number, since it uses less digits than its factorization.

383280768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 486 counting only the distinct ones).

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

The square root of 383280768 is about 19577.5577639296. The cubic root of 383280768 is about 726.3941579353.

The spelling of 383280768 in words is "three hundred eighty-three million, two hundred eighty thousand, seven hundred sixty-eight".