3782145663 has 16 divisors (see below), whose sum is σ = 5615676000. Its totient is φ = 2515806720.

The previous prime is 3782145637. The next prime is 3782145677. The reversal of 3782145663 is 3665412873.

3782145663 is a `hidden beast` number, since 3 + 7 + 82 + 1 + 4 + 566 + 3 = 666.

It is not a de Polignac number, because 3782145663 - 2⁸ = 3782145407 is a prime.

It is a super-2 number, since 2×3782145663² = 28609251632299419138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782145623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143868 + ... + 168113.

It is an arithmetic number, because the mean of its divisors is an integer number (350979750).

Almost surely, 2^3782145663 is an apocalyptic number.

3782145663 is a deficient number, since it is larger than the sum of its proper divisors (1833530337).

3782145663 is a wasteful number, since it uses less digits than its factorization.

3782145663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312439 (or 312433 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3782145663 is about 61499.1517258572. The cubic root of 3782145663 is about 1558.0429193136.

The spelling of 3782145663 in words is "three billion, seven hundred eighty-two million, one hundred forty-five thousand, six hundred sixty-three".