3782004004 has 27 divisors (see below), whose sum is σ = 6708605043. Its totient is φ = 1865603328.

The previous prime is 3782003989. The next prime is 3782004013. The reversal of 3782004004 is 4004002873.

The square root of 3782004004 is 61498.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1197298404 + 2584705600 = 34602^2 + 50840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11930454 + ... + 11930770.

Almost surely, 2^3782004004 is an apocalyptic number.

3782004004 is the 61498-th square number.

It is an amenable number.

3782004004 is a deficient number, since it is larger than the sum of its proper divisors (2926601039).

3782004004 is an frugal number, since it uses more digits than its factorization.

3782004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The cubic root of 3782004004 is about 1558.0234670787.

Adding to 3782004004 its reverse (4004002873), we get a palindrome (7786006877).

The spelling of 3782004004 in words is "three billion, seven hundred eighty-two million, four thousand, four".