381784752 has 100 divisors (see below), whose sum is σ = 1123949640. Its totient is φ = 125079552.

The previous prime is 381784723. The next prime is 381784757. The reversal of 381784752 is 257487183.

381784752 is a `hidden beast` number, since 3 + 8 + 178 + 475 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 381784698 and 381784707.

It is not an unprimeable number, because it can be changed into a prime (381784757) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73968 + ... + 78960.

Almost surely, 2^381784752 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 381784752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561974820).

381784752 is an abundant number, since it is smaller than the sum of its proper divisors (742164888).

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

381784752 is a wasteful number, since it uses less digits than its factorization.

381784752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5057 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 381784752 is about 19539.3129868990. The cubic root of 381784752 is about 725.4478418943.

The spelling of 381784752 in words is "three hundred eighty-one million, seven hundred eighty-four thousand, seven hundred fifty-two".