382136040 has 288 divisors, whose sum is σ = 1469651040. Its totient is φ = 85363200.

The previous prime is 382136033. The next prime is 382136057. The reversal of 382136040 is 40631283.

It is a happy number.

382136040 is a `hidden beast` number, since 38 + 21 + 3 + 604 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 382135995 and 382136013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 668955 + ... + 669525.

It is an arithmetic number, because the mean of its divisors is an integer number (5102955).

Almost surely, 2^382136040 is an apocalyptic number.

382136040 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 382136040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734825520).

382136040 is an abundant number, since it is smaller than the sum of its proper divisors (1087515000).

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

382136040 is a wasteful number, since it uses less digits than its factorization.

382136040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 382136040 is about 19548.3001818572. The cubic root of 382136040 is about 725.6702735119.

It can be divided in two parts, 38213 and 6040, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 382136040 in words is "three hundred eighty-two million, one hundred thirty-six thousand, forty".