3782020167 has 48 divisors (see below), whose sum is σ = 6039488000. Its totient is φ = 2358180864.

The previous prime is 3782020153. The next prime is 3782020169. The reversal of 3782020167 is 7610202873.

3782020167 is a `hidden beast` number, since 378 + 20 + 201 + 67 = 666.

It is not a de Polignac number, because 3782020167 - 2²⁶ = 3714911303 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782020169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359559 + ... + 369927.

Almost surely, 2^3782020167 is an apocalyptic number.

3782020167 is a deficient number, since it is larger than the sum of its proper divisors (2257467833).

3782020167 is a wasteful number, since it uses less digits than its factorization.

3782020167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10482 (or 10470 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3782020167 is about 61498.1314106372. The cubic root of 3782020167 is about 1558.0256865632.

The spelling of 3782020167 in words is "three billion, seven hundred eighty-two million, twenty thousand, one hundred sixty-seven".