382791312 has 160 divisors (see below), whose sum is σ = 1189209600. Its totient is φ = 117430272.

The previous prime is 382791259. The next prime is 382791349. The reversal of 382791312 is 213197283.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344614 + ... + 345722.

It is an arithmetic number, because the mean of its divisors is an integer number (7432560).

Almost surely, 2^382791312 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 382791312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594604800).

382791312 is an abundant number, since it is smaller than the sum of its proper divisors (806418288).

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

382791312 is a wasteful number, since it uses less digits than its factorization.

382791312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1178 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 382791312 is about 19565.0533349644. The cubic root of 382791312 is about 726.0848203610.

The spelling of 382791312 in words is "three hundred eighty-two million, seven hundred ninety-one thousand, three hundred twelve".