382784040 has 96 divisors (see below), whose sum is σ = 1251694080. Its totient is φ = 101448576.

The previous prime is 382784033. The next prime is 382784081. The reversal of 382784040 is 40487283.

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

It is a junction number, because it is equal to n+sod(n) for n = 382783986 and 382784004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56937 + ... + 63303.

It is an arithmetic number, because the mean of its divisors is an integer number (13038480).

Almost surely, 2^382784040 is an apocalyptic number.

382784040 is a gapful number since it is divisible by the number (30) 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 382784040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625847040).

382784040 is an abundant number, since it is smaller than the sum of its proper divisors (868910040).

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

382784040 is a wasteful number, since it uses less digits than its factorization.

382784040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6551 (or 6544 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 382784040 is about 19564.8674925234. The cubic root of 382784040 is about 726.0802224490.

The spelling of 382784040 in words is "three hundred eighty-two million, seven hundred eighty-four thousand, forty".