3782482232004 has 144 divisors (see below), whose sum is σ = 10960388414976. Its totient is φ = 1077428044800.

The previous prime is 3782482231973. The next prime is 3782482232017. The reversal of 3782482232004 is 4002322842873.

3782482232004 is a `hidden beast` number, since 378 + 2 + 48 + 2 + 232 + 0 + 0 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 141753544 + ... + 141780224.

Almost surely, 2^{3782482232004} 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 3782482232004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480194207488).

3782482232004 is an abundant number, since it is smaller than the sum of its proper divisors (7177906182972).

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

3782482232004 is a wasteful number, since it uses less digits than its factorization.

3782482232004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28386 (or 28381 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 3782482232004 in words is "three trillion, seven hundred eighty-two billion, four hundred eighty-two million, two hundred thirty-two thousand, four".