382749312 has 256 divisors, whose sum is σ = 1190707200. Its totient is φ = 107827200.

The previous prime is 382749307. The next prime is 382749317. The reversal of 382749312 is 213947283.

It is an interprime number because it is at equal distance from previous prime (382749307) and next prime (382749317).

It is not an unprimeable number, because it can be changed into a prime (382749317) 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, 4844889 + ... + 4844967.

It is an arithmetic number, because the mean of its divisors is an integer number (4651200).

Almost surely, 2^382749312 is an apocalyptic number.

382749312 is a gapful number since it is divisible by the number (32) 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 382749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595353600).

382749312 is an abundant number, since it is smaller than the sum of its proper divisors (807957888).

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

382749312 is a wasteful number, since it uses less digits than its factorization.

382749312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 382749312 is about 19563.9799631874. The cubic root of 382749312 is about 726.0582639608.

It can be divided in two parts, 38274 and 9312, that added together give a triangular number (47586 = T₃₀₈).

The spelling of 382749312 in words is "three hundred eighty-two million, seven hundred forty-nine thousand, three hundred twelve".